After 10 weeks, they will have same amount of money.
Step-by-step explanation:
Given,
Amount Andy have = $20
Amount earned per week = $5
Let,
x be the number of weeks.
y be the total cost.
y = 20+5x Eqn 1
Amount Jennifer have = $50
Amount earned per week = $2
y = 50+2x Eqn 2
For the same amount of money, the equations will be equal.
Eqn 1 = Eqn 2
[tex]20+5x=50+2x\\5x-2x=50-20\\3x=30[/tex]
Dividing both sides by 3
[tex]\frac{3x}{3}=\frac{30}{3}\\x=10[/tex]
After 10 weeks, they will have same amount of money.
Keywords: linear equation, division
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