Question

duane and mick are saving their money to build a treehouse. duane adds $5 to their piggy bank every other week. mick adds $2 every week. so far they have saved $45. how many weeks have they been saving their money?

Answer 1

10 weeks

Step-by-step explanation:

We are given that:

Duane adds $5 every other week.

This means that:

Duane adds
`(5)/(2)` = $2.5 per week

We are also given that:

Mick adds $2 every week

Therefore:

amount added each week = 2.5 + 2 = $4.5

Now, we know that the total amount they saved is $45 and we want to find the number of weeks, therefore:

Total amount saved = amount saved per week * number of weeks

45 = 4.5 * number of weeks

number of weeks =
`(45)/(4.5)` = 10 weeks

Hope this helps :)

Answer 2

10 weeks is the number of weeks they have been saving their money.

Duane = $5 every two weeks
Mick = $2 every week.

Get the value of Duane's weekly contribution = $5 / 2 = $2.5

Duane's share + Mick's share = $45
$2.5x + $2.0x = $45 ===>> equation can also be x(2.5 + 2) = 45
$4.5x = $45
$4.5x / $4.5 = $45 / $4.5
x = 10 weeks.

To check:

$2.5(10) + $2(10) = $45
$25 + $20 = $45
$45 = $45