It would take Kendall and Asa 7 weeks to have the same amount of money.
Let x represent the number of weeks and y represent the total money saved by Kendall. Since she has $50 and save $10 every week, hence:
y = 10x + 50.
Let x represent the number of weeks and z represent the total money saved by Asa. Since she has $15 and save $15 every week, hence:
z = 15x + 15
The number of weeks that it would take Kendall and Asa to have the same amount of money is:
y = z
10x + 50 = 15x + 15
5x = 35
x = 7
Hence it would take Kendall and Asa 7 weeks to have the same amount of money.
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