Question

Mr. Sanchez’s class sold fruit pies for $1.55 each and Mr. Kelly’s class sold bottles of fruit juice for $1.40 each. Together, the classes sold 60 items and earned $88.20 for their school. I need help finding out how to get a system of equations out of this. I can solve the system of equations myself. Its been two hours. please help.

Answer 1

Mr. Sanchez's class sold 28 fruit pies and Mr. Kelly's class sold 32 bottles of fruit juice.

Explanation:

Let x be the number of fruit pies sold and y be the number of bottles of fruit juice sold.

Together, the classes sold 60 items, so

x + y = 60

Mr. Sanchez’s class sold fruit pies for $1.55 each, so x fruit pies cost $1.55x.

Mr. Kelly’s class sold bottles of fruit juice for $1.40 each, so y bottles of fruit juice cost $1.40y.

Together, the classes earned $88.20 for their school, so

1.55x + 1.40y = 88.20.

You get the system of two equations:

`\left\{\begin{array}{l}x+y=60\\ \\1.55x+1.40y=88.20\end{array}\right.`

From the first equation:

`x=60-y`

Substitute it into the second equation:

`1.55(60-y)+1.40y=88.20\\ \\93-1.55y+1.4y=88.2\\ \\-0.15y=88.2-93\\ \\-0.15y=-4.8\\ \\0.15y=4.8\\ \\15y=480\\ \\y=32\\ \\x=60-32=28`

Mr. Sanchez's class sold 28 fruit pies and Mr. Kelly's class sold 32 bottles of fruit juice.