Question

Sara buys $30 of produce at the farmer's market. She spends $5more on green vegetables than she does on fruit. How much didSara spend on green vegetables? How much did she spend onfruit? Write and solve a system of equations.

Answer 1

Okay, here we have this:

Considering the provided information, we are going to write and solve the correspondinf system of equation, so we obtain the following:

According to the information given, we obtain the following system of equations, where we take x as money spent on fruit and y as money spent on green vegetables, so we have:

`\begin{gathered} x+y=30 \\ x+(x+5)=30 \end{gathered}`

Now let's solve for x in the second equation:

x+x+5=30

2x+5=30

2x=30-5

2x=25

x=25/2

x=12.5

Now from the value of x that we got, then we will plug it into the first equation to get the value of y:

`\begin{gathered} x+y=30 \\ 12.5+y=30 \\ y=30-12.5 \\ y=17.5 \end{gathered}`

Then, finally we obtain that she spend $12.5 on fruits and $17.5 on green vegetables.