Question

Mary and Julie both have a goal of raising $1000 for charity. Mary raises $12 every 4 days. Julie raises $19 every 6 days. Will Mary or Julie reach her goal first? Explain.

Answer 1

Julie would reach her goal first

Answer 2

Julie will reach her goal 21 days before Mary.

Explanation:

Mary and Julie both have a goal of raising $1000 for charity.

Mary raises money in every 4 days = $12.

In one day Mary raises money =
`(12)/(4)`

= $3

Mary needs time to reach her goal =
`(1000)/(3)`

= 333.33 ≈ 334 days

Julie raises money in every 6 days = $19

In one day Julie raises money =
`(19)/(6)`

= $3.1666 ≈ $3.2

Julie needs time to reach her goal =
`(1000)/(3.2)`

= 312.5 ≈ 313 days

Difference of the days between both of them to reach their goal

= 334 - 313 = 21 days

Julie will reach her goal first, 21 days before Mary.