mary and julie both have a goal of raising $1000 for charity. mary raises $12 every 4 days. julie raises $19…

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.

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

Explanation:

Step1: Calculate Mary's daily - raising rate

Mary raises $12 every 4 days. Her daily - raising rate is $\frac{12}{4}=3$ dollars per day.

Step2: Calculate Julie's daily - raising rate

Julie raises $19 every 6 days. Her daily - raising rate is $\frac{19}{6}\approx3.17$ dollars per day.

Step3: Calculate the time for Mary to reach the goal

The time $t_M$ for Mary to reach the $1000 - dollar$ goal is $t_M=\frac{1000}{3}\approx333.33$ days.

Step4: Calculate the time for Julie to reach the goal

The time $t_J$ for Julie to reach the $1000 - dollar$ goal is $t_J=\frac{1000}{\frac{19}{6}}=\frac{6000}{19}\approx315.79$ days.

Answer:

Julie will reach her goal first because it takes Mary about 333.33 days to raise $1000 and it takes Julie about 315.79 days to raise $1000.