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Drupady [299]
3 years ago
11

A credit card company offers a cash back program on transactions. For every transaction over​ $100 the customer gets ​$3 back. F

or every transaction​ $100 or​ less, the customer gets​ $1 back. The customer made 25 transactions in all and the total number of dollars given back was ​$29. Write and solve a system of equations to find the number of transactions of each type.
Mathematics
2 answers:
Elena L [17]3 years ago
5 0
The first equation is $3 times 9 = $27 the next equation iis $1 times 2 = $1
So you do 9 transactions over $100 and 2 transactions of $100 or lower. 


yulyashka [42]3 years ago
4 0
X=over 100
y=100 or less

x+y=25
3x+1y=29

sole
mltiply first equation by -1 and add to other equation

-1x-1y=-25
<u>3x+1y=29 +</u>
2x+0y=4

2x=4
divide by 2
x=2

sub back
x+y=25
2+y=25
minus 2
y=23


there were 2 transactions more than 100
there were 23 transactions 100 or less
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Answer:

Elena's move will lead to the solution of the problem

Step-by-step explanation:

To solve the equation 7.5d=2.5d, Lin divides each side by 2.5d, and Elena subtracts 2.5d from each side. Will both moves lead to the solution? Explain your reasoning

Given:

7.5d = 2.5d

Lin divides each side by 2.5d, Lin:

7.5d / 2.5d = 2.5d / 2.5d

3 = 1

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Elena subtracts 2.5d from each side

7.5d = 2.5d

7.5d - 2.5d = 2.5d - 2.5d

5d = 0

This can lead to the solution of the problem

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