Transcript Task 3 - math projects

Our math project
1. Alyazia Abdullah.
2. Maria Ahmed.
3. Aisha.
4. Fatima Sultan.
Choose the task
Task three
Task one
Task two
Task four
For his 14th 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
Part one:
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
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Task one
Part two:
X
5
15
25
35
45
15X + 800
15(5)+800
15(15)+800
15(25)+800
15(35)+800
15(45)+800
Y
875
1025
1175
1325
1475
X
30X + 200
Y
5
30(5)+200
350
15
30(15)+200
650
25
30(25)+200
950
35
30(35)+200
1250
45
30(45)+200
1550
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Task two
Part one:
a) If Mohammed plans to invite 20 friends, which
catering company should he choose? Show your
work.
Catering R Us
All things catered 4U
15(20)+800
=1100
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
Part one:
b) If Mohammed plans to invite 50 friends, which
catering company should he choose? Show your
work.
Catering R Us
All things catered 4U
15(50)+800
=1550
30(50)+200
=1700
Mohammed should choose R Us company because its cheaper
than 4 U company.
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Task two
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
15
=
15X
15
40 = X
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Task two
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
4 U company
15X + 800 = 950
30X + 200 = 950
15X = 950 - 800
30X = 950 -200
15X =
15
150
15
X =10
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30X = 750
30
30
X = 25
Task two
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
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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Task three
Part one:
• Group A :
• Group B :
• Group C :
300+400+500 = 1200
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Task three
Part two:
•
a) what is the percentage is the highest contribution
with respect to the total ?
• Group A :
300
× 100 = 25%
1200
• Group B :
400
× 100 = 33.3%
1200
• Group C :
500
× 100 = 41.66%
1200
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Task three
Part two:
•
b) what is the percentage is the lowest contribution
with respect to the total ?
Group A :
Group B :
Group C :
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Task four
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
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
Click the link to watch the video
http://www.youtube.com/watch?v=If9veGjfsEU
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