Answer:
It will take Kyle 10 months to have at least as much money as John. At 10 months both will have 600$
Explanation:
John has $200 in his bank account. He saves $40 of his allowance each month. Therefore:
John = 40n+200
Where n is the number of months.
Kyle has $100 in his bank account but he is saving $50 each month. Therefore:
Kyle = 50n+100
To see how much until they are equal or in other words, does Kyle have at least as much money as John has, we make equations equal.
40n+200=50n+100
200=10n+100
100=10n
10=n
Thus, we see that it will take 10 months for Kyle to have at least as much money as John has. We can quickly test this:
John:
John = 40n+200
John = 40(10)+200
John = 600$
Kyle:
Kyle = 50n+100
Kyle = 50(10)+100
Kyle = 600$
Thus, we see that it will take 10 months for Kyle to have at least as much money as John has.