Question

Grace has $81 in her bank account and deposits $68 per month into her account. Jasmine has $53 and deposits $75 per month into her account. Enter the number of months it will take for both Grace and Jasmine to have the same amount of money in their accounts.

Answer 1

4 months

Explanation:

Let the number of months that they deposit into their accounts be m.

Grace has $81 in her bank account and deposits $68 per month into her account. This means that after m months, she will have:

81 + 68m

Jasmine has $53 and deposits $75 per month into her account. This means that after m months, she will have:

53 + 75m

To find the number of months it will take for them to have the same amount, we equate the amount that they each have:

81 + 68m = 53 + 75m

Collect like terms and simplify:

81 - 53 = 75m - 68m

28 = 7m

=> m = 28 / 7 = 4

It will take 4 months for them to have the same amount.