math project Alyazia Abdullah Maria Ahmed Aisha Fatima Sultan Choose the task Task one Task two Task three Task four Task one Alyazia Abdulla For his 14 th birthday Mohammed Jassim decided to invite a number of his friends He decided to take them out for a day of fun to ID: 235306
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Slide1
Our math project
Alyazia Abdullah.Maria Ahmed.Aisha.Fatima Sultan.Slide2
Choose the task
Task one
Task two
Task three
Task fourSlide3
Task one
Alyazia Abdulla
For his 14
th
birthday, Mohammed Jassim decided to invite a number of his friends. He decided to take them out for a day of fun to the mall near where he lives.
Mohammed researched the catering companies in his area. He chose two: catering R Us and all things 4 U. he is trying to decide between the two catering companies, using the algebra he learned in class.
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Task one
Alyazia Abdulla
Opinion 1: catering R Us charges a fee of 800 and 15 AED per person.
Opinion 2: all things catered 4 U charges 200 AED fee and 30 AED per person.
Opinion1: catering R Us
Opinion 2: all things catered
4 U
15X + 800
30X + 200
Part one:
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Task one
Alyazia Abdulla
Part two:
X
15X +
800
Y
5
15(5)+800
875
15
15(15)+800
1025
25
15(25)+800
1175
35
15(35)+800
1325
45
15(45)+800
1475
X
30X + 200
Y
5
30(5)+200
350
15
30(15)+200
650
25
30(25)+200
950
35
30(35)+200
12504530(45)+2001550
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Task two
Maria Ahmed
Part one:
a) If Mohammed plans to invite 20 friends, which catering company should he choose? Show your work.
Catering R Us
15(20)+800
=1100
All things catered 4U
30(20)+200
=800
All things catered 4U is better than catering R Us because 4 U company is cheaper than catering R Us,
So Mohammed should choose all things catered 4 U company.
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Task two
Maria Ahmed
Part one:
b) If Mohammed plans to invite 50 friends, which catering company should he choose? Show your work.
Catering R Us
15(50)+800
=1550
All things catered 4U
30(50)+200
=1700
Mohammed should choose
R Us
company
because its cheaper than
4 U
company.
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Task two
Maria Ahmed
Part one:
c) Find the exact number of person that each two catering companies can accommodate for the same amount. How much will the amount be?
Show your complete solution.
15X + 800 = 30X + 200
800 – 200 = 30X -15X
600 = 15X
15
15
40 = X
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Task two
Maria Ahmed
Part two:
Mohammed has 950 AED available to spend on his birthday party. How many friends can he invite under each of the catering opinions? Set up an equation for each opinion and solve it to find out how many friends (persons) that can be invite under each opinion.
R Us company
15X + 800 = 950
15X = 950 - 800
15X = 150
15
15
X =10
4 U company
30X + 200 = 950
30X = 950 -200
30X = 750
30
30
X = 25
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Task two
Maria Ahmed
Part three:
Mohammed hates to waste food and beverages. He does not like to be embarrassed
In front of his friends either for not providing enough to eat and drink.
he determines that 40 person plus or minus 10% is a good number.
Write and solve an absolute value equation to find
The maximum and minimum number of friends that
Mohammed should invite to his party.
X - 40
= 4
X – 40 = + or – 4
X – 40 = -4 or X – 40 = 4
X = -4 + 40
X = 4 + 40
X = 36
X = 44
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Task three
Aisha
Part one:
Three group ,
group A
,
group B
and
group C
, of
Mohammed's friend decided to buy as a memorable gift for his birthday.
They contributed 1200 AED
in
the ratio of 3:4:5
.
How much did each group contribute ?
Solve the word problem
Total :
1200 AED
Ratio of each group :
Group A : 3 Group B : 4 Group C : 5
Total of ratio :
3+4+5 = 12
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Group A : Group B :
Group C :
300+400+500 = 1200
Task three
Aisha
Part one:
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a) what is the percentage is the highest
contribution with respect to the total ?Group A :Group B :
Group C :
The highest group is( C )
Task three
Aisha
Part two:
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b)
what is the percentage is the lowest contribution with respect to the total ?
The lowest group is( A )
Group A :
Group B :
Group C :
Task three
Aisha
Part two:
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Task four
Fatima Sultan
Equations
Try to fill in the missing numbers.
The missing numbers are integers between 5 and 10.
The numbers in each row add up to totals to the right.
The numbers in each column add up to the totals along the bottom.
The diagonal lines also add up the totals to the right.
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Task four
Fatima Sultan
Equations
Try to fill in the missing numbers.
Use the numbers 1 through 9 to complete the equations.
Each number is only used once.
Each row is a math equation. Each column is a math equation.
Remember that multiplication and division are performed before addition and subtraction.
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Task four
Fatima Sultan
http://www.youtube.com/watch?v=If9veGjfsEU
Click the link to watch the video
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