Question

Write a system of equations to describe the situation below, solve using any method, and fi in the blancs Greg and his cousin Annie are picking apples in their grandparents' orchard. Greg has filed 7 baskets with apples and is filing them at a rate of 5 baskets per hour. Annie has 13 baskets and will continue piccang at 4 baskets per hour. Once the cousins get to the point where they have fled the same number of baskets, they will carry them to the bam and then est lunch. How much fruit will they have picked each by then? How long will that take? Greg and Annie w each have each picked baskets in hours

Answer 1

Given the question, the following are the solution steps to answer the question.

STEP 1: Represent the unknown terms

Let h be the number of hours

Let t be the total number of baskets filled

STEP 2: Interpret the statements by getting the required equations

For Greg

`t=7+5h`

For Annie,

`t=13+4h`

STEP 3: Calculate the time they will fill the same number of baskets

this means that t will be equal to t

`\begin{gathered} t=t \\ 7+5h=13+4h \\ 7-13=4h-5h \\ -6=-h \\ h=6 \end{gathered}`

time = 6 hours

STEP 4: Calculate the total number of apples they will have each picked

For Greg

`\begin{gathered} t=7+5h \\ h=6 \\ t=7+5(6)=7+30=37 \end{gathered}`

For Annie,

`\begin{gathered} t=13+4h \\ t=13+4(6)=13+24=37 \end{gathered}`

ANSWER:

Greg and Annie would have each filled 37 baskets in 6 hours