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.

Question

Mathematics

Mckenzie Coffey

30 September, 09:19

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.

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Answers (1)

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Ming · Answer 1

4 months

Step-by-step 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.