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Sagot :
Answer:
Defining variable: x = per week
Equation: 37 + 6.5x = 9 + 8.25x
Answer: 16 weeks
Step-by-step explanation:
x = per week
Jack:
37 + 6.5x
Diane:
9 + 8.25x
Equation:
37 + 6.5x = 9 + 8.25x
6.5x - 8.25x = 9 - 37
-1.75x = -28
x = 16
The number of weeks when Jack and Diane would have the same amount of money is 16 weeks.
Equations that represents the amount of money saved
Total amount of money saved = amount the person has + (amount the person saves per week x number of weeks)
Total amount of money Jack saves = $37 + ($6.50 x w)
Total amount of money Diane saves = $9 + ($8.25 x w)
Number of weeks when they would have the same amount of money
When Jack and Diane would have the same amount of money, the equations that represent the total amount of money saved for both individuals would be equal.
$37 + $6.50w = $9 + $8.25w
combine similar terms
$37 - $9 = $8.25w - $6.50
$28 = 1.75w
Divide both sides of the equation by 1.75
w = 16 weeks.
To learn more about how to determine when two people would have equal quantities, please check: https://brainly.com/question/25711114
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