Question

You have $135 in a savings account and save $12 per week. Your friend has $95 in a savings account and saves $20 per week. How many weeks will it take for you and your friend to have the same balance?

Answer 1

Answer:

It will take 5 weeks for you and your friend to have the same balance

Step-by-step explanation:

Let

Your savings expression be

135 + 12x

Your friends savings expression

95 + 20x

Where,

x = number of weeks for you and your friend to have the same balance

Equate the two expressions

135 + 12x = 95 + 20x

Collect like terms

135 - 95 = 20x - 12x

40 = 8x

Divide both sides by 8

40/8 = x

x = 40/8

= 5

x= 5 weeks

Check

Your savings expression

135 + 12x

135 + 12(5)

=135 + 60

= $195

Your friends savings expression

95 + 20x

95 + 20(5)

= 95 + 100

= $195

Therefore, It will take 5 weeks for you and your friend to have the same balance