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

Answer:

Julie will reach her goal 21 days before Mary.

Step-by-step 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 = $\frac{12}{4}$

                                                = $3

Mary needs time to reach her goal = $\frac{1000}{3}$

                                                          = 333.33  ≈ 334 days

Julie raises money in every 6 days = $19

In one day Julie raises money = $\frac{19}{6}$

                                                = $3.1666 ≈ $3.2

Julie needs time to reach her goal = $\frac{1000}{3.2}$

                                                         = 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.

Answer 2

Julie would reach her goal first