MATH PROJECTMATH PROJECT

DONE BY : LAILA HASSANDONE BY : LAILA HASSAN MOZA BADERMOZA BADER HAMDA MUBARAKHAMDA MUBARAK HOUR ESSAHOUR ESSA

TASK-1TASK-1PART-1PART-1

Write an algebraic expression for the charges Write an algebraic expression for the charges under each option. under each option.

Catering R usCatering R us All things catered All things catered 4U4U

800+15x800+15x 200+30x200+30x

PART-2PART-2

R US - 800+15(5)=875R US - 800+15(5)=875 800+15(15)=1,025800+15(15)=1,025 800+15(25)=1175800+15(25)=1175 800+15(35)=1325800+15(35)=1325 800+15(45)=1475800+15(45)=1475

4U- 200+30(5)=3504U- 200+30(5)=350 200+30(15)=650200+30(15)=650 200+30(25)=950200+30(25)=950 200+30(35)=1250200+30(35)=1250 200+30(45)=1550200+30(45)=1550

Recored the cost for each option for inviting Recored the cost for each option for inviting 5,15,25,35,45 friends5,15,25,35,45 friends

TASK-2TASK-2PART-1PART-1

A)A)catering R Us-: catering R Us-: 800+15(20)800+15(20)=1,100AED=1,100AED

All thing catered All thing catered 4U-:200+30(20)4U-:200+30(20)

=800AED=800AEDMohammed should choose all thing catered 4U Mohammed should choose all thing catered 4U

company. company.

Mohammed should choose all thing catered 4U Mohammed should choose all thing catered 4U company.company.

All things catered All things catered 4U-:200+30(50)4U-:200+30(50)

=1,700AED=1,700AED

Catering R Us -: Catering R Us -: 800+15(50)800+15(50)=1.550AED=1.550AED

a) If Mohammed plans to invite 20 friends, which catering a) If Mohammed plans to invite 20 friends, which catering company should he choose? Show your work.company should he choose? Show your work.

b) If Mohammed plans to invite 50 friends, which catering b) If Mohammed plans to invite 50 friends, which catering company should he choose? Show your work.company should he choose? Show your work.

c) Find the exact number of persons that each of the two c) Find the exact number of persons that each of the two catering companies can accommodate for the same amount. catering companies can accommodate for the same amount. How much will the amount be? Show your complete solution.How much will the amount be? Show your complete solution.

200+30(40)=1,400 800+15(40) 200+30(40)=1,400 800+15(40) =1,400=1,400

Ans: Ans: 800+15x=200+30x800+15x=200+30x800-200=30x-15x800-200=30x-15x

600/15=15x/15600/15=15x/15X=40X=40

The amount of each company will be 1,400AED for 40 The amount of each company will be 1,400AED for 40 persons.persons.

PART-PART-22

10persons10persons

All things catered All things catered 4U-:200+30x=9504U-:200+30x=950

30x=950-20030x=950-20030x/30=750/3030x/30=750/30

X=25X=25

Catering R Catering R Us :800+15x=950Us :800+15x=950

15x=950-80015x=950-80015x/15=150/1515x/15=150/15

X=10X=10

Mohammed has 950 AED available to spend on his Mohammed has 950 AED available to spend on his birthday party. How many friends can he invite under birthday party. How many friends can he invite under each of the catering options? Set up an equation for each of the catering options? Set up an equation for each option and solve it to find out how many friends each option and solve it to find out how many friends

(persons) that he can invite under each option.(persons) that he can invite under each option.

25person25personss

PART-PART-33

| | x-40|x-40|=4=4

Mohammed hates to waste food and beverages. He does Mohammed hates to waste food and beverages. He does not like to be embarrassed in front of his friends either not like to be embarrassed in front of his friends either

for not providing enough to eat and drink. He for not providing enough to eat and drink. He determines that 40 persons plus or minus 10% is a good determines that 40 persons plus or minus 10% is a good number. Write and solve an absolute value equation to number. Write and solve an absolute value equation to find the maximum and minimum number of friends that find the maximum and minimum number of friends that

Mohammed should invite to his party.Mohammed should invite to his party.

X-40=4X-40=4 X-40=-X-40=-44

X-X-40=+4or-440=+4or-4

X=4+4X=4+400

X=3X=366

X=4X=444

X=-X=-4+404+40

The maximum The maximum number of friends number of friends

is 44is 44The minimum The minimum

number of friends number of friends is 36is 36

TASK-4TASK-4PART-1PART-1

Three groups ,groups A,B,C of Three groups ,groups A,B,C of mohammed's friends decided to buy a mohammed's friends decided to buy a

watch as a memorable gift for his watch as a memorable gift for his birthday contributed 1200AED in the birthday contributed 1200AED in the

ratio of 3:4:5.how much did each group ratio of 3:4:5.how much did each group contributed?contributed?

A) what is the percentage is the highest A) what is the percentage is the highest contribution with the respect to the total?contribution with the respect to the total?

PART-PART-22

A)A)the highest the highest contribution is Ccontribution is C

500/1200x100=41.7%500/1200x100=41.7%

B) what is the percentage is the lowest B) what is the percentage is the lowest contribution with the respect to the total?contribution with the respect to the total?

B) the lowest B) the lowest contribution is A contribution is A

300/1200x100=25%300/1200x100=25%

TASK-5TASK-5PART-1PART-1

Equations are used widely in our real-world life applications. Equations are used widely in our real-world life applications. Prepare a research about how solving equations helps us in Prepare a research about how solving equations helps us in

different domains of our life.different domains of our life.

The algebra activities on this page, make learning algebra The algebra activities on this page, make learning algebra easy and fun. Take the example in picture below.easy and fun. Take the example in picture below.

BALANCED SCALEDBALANCED SCALEDFor example, if I add a certain amount of weight to For example, if I add a certain amount of weight to

one side of the scale, to make it stay balanced, I one side of the scale, to make it stay balanced, I know I need to add the same weight to the other know I need to add the same weight to the other

side of the scale.side of the scale.

Guess what happens if you don’t add the same amount of Guess what happens if you don’t add the same amount of weight to one side as you do to the other side. Well, take a weight to one side as you do to the other side. Well, take a

look at the picture below if you’re wondering.look at the picture below if you’re wondering.

UNBALANCED SCALEDUNBALANCED SCALED

In Algebra, we always want the Scale to Stay Balanced. So in In Algebra, we always want the Scale to Stay Balanced. So in the above algebra example, too much weight was added to the above algebra example, too much weight was added to

the right side of the scale. So the scale is not balanced the right side of the scale. So the scale is not balanced anymore.anymore.

There are two blocks on the left, one has a 5 in it and the There are two blocks on the left, one has a 5 in it and the other is empty.other is empty.

Write an algebra equation for the balance, andWrite an algebra equation for the balance, andDetermine what the resulting value of the Determine what the resulting value of the

variable, x is.variable, x is.two blocks on the left, side must equal 9, the block on the two blocks on the left, side must equal 9, the block on the

right side of the balance scale.right side of the balance scale.

==

So the equation is So the equation is x+5=9x+5=9

X+X+

3X=12 ; X=43X=12 ; X=4

6X=24; 6X=24; X=4X=4

8X=64 ; 8X=64 ; X=8X=8

THANK YOU THANK YOU AND WE HOPE THAT YOU LIKE OUR AND WE HOPE THAT YOU LIKE OUR

PRESENT . :)PRESENT . :)