Question

Isaiah and his little sister are saving up money to buy a joint birthday present for their mother. Isaiah already has $26 saved and plans to save $7 per week from his allowance. His sister has $28 saved so far and will save $5 per week from hers. The two siblings will soon have saved the same amount towards their mother's gift. How long will that take? How much will each one have saved?

Answer 1

It will take Isaiah and his sister one week to have saved the same amount. Each one will have saved $33.

Step-by-step explanation:

To find out how long it will take for Isaiah and his sister to have saved the same amount, we need to set up an equation.

Let x be the number of weeks it takes.

Isaiah’s savings can be determined by the equation: Savings = $26 + $7x

His sister’s savings can be determined by the equation: Savings = $28 + $5x

Since they will soon have saved the same amount, we can set the two equations equal to each other: $26 + $7x = $28 + $5x

Solving for x, we get: $7x - $5x = $28 - $26 => 2x = 2 => x = 1

Therefore, it will take them 1 week to save the same amount.

To find out how much each one will have saved, substitute x = 1 into the equations.

Isaiah’s savings = $26 + $7(1) = $33

His sister’s savings = $28 + $5(1) = $33