Question

Randy has $12 which he decides to put into his savings account. Every week Randy does chores to earn a $6 allowance which he continues to save and put into his savings account.Like Randy, Becky decides to be more responsible with her money and also save her money. Right now she owes her parents $8. Becky also earns $7 a week for doing chores, If both Randy and Becky save up beginning today whose savings account would reach $50first?A. RandyB. BeckyC. They would reach $50 at the same time.D. There is not enough given information to determine who will save up $50 first

Answer 1

Randy's initial money = $12

Randy's earnings per week = $6

Becky's initial money = -$6 (she owes )

Becky's earnings per week = $7

Number of weeks: x

The equation for each:

• Randy:

50 = 12 + 6x

• Becky:

50 = -6 + 7x

Solve each for x:

Randy:

50= 12 + 6x

50-12 = 6x

38 = 6x

38/6=x

x= 6.3

Becky:

50= -8 + 7x

50+8 =7x

58=7x

58/7=x

x= 8.28

Randy will take 6.33 weeks and Becky 8.28 weeks.

Answer:

A. Randy