Question

Kendall and Asa are both saving up money to buy new mountain bikes. Kendall has $70 and will save $5 every week. Asa has $30 and will save $10 every week. After how many weeks will Kendall and Asa have the same amount of money?

a) 6 weeks
b) 8 weeks
c) 10 weeks
d) 12 weeks

Answer 1

By setting up equations for the total amount of money Kendall and Asa will save each week, we find that they will both have the same amount after 8 weeks.

Step-by-step explanation:

To determine after how many weeks Kendall and Asa will have the same amount of money, we can set up an equation representing the total amount of money each will have after a certain number of weeks.

Kendall's total money after 'x' weeks will be her starting amount plus $5 per week: 70 + 5x.

Asa's total money after 'x' weeks will be his starting amount plus $10 per week: 30 + 10x.

To find when they will have the same amount of money, we set the two equations equal to each other:

70 + 5x = 30 + 10x

Solving for 'x', we subtract '5x' from both sides:

70 = 30 + 5x

Then, subtract '30' from both sides:

40 = 5x

Finally, divide both sides by '5' to find 'x':

x = 8

Therefore, Kendall and Asa will have the same amount of money after 8 weeks, which matches option b).