Andy has $20 and earns $5 per week selling candy. Jennifer has $50 and earns $2 per week selling chocolate
How many weeks until Andy and Jennifer have the same amount of money?

Respuesta :

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

Learn more about linear equations at:

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