Question

Mr. Sanchez’s class sold snickers for 1.50 each and Mr. Kelly’s class sold bottles of fruit juice for 1.26 each. Together, the classes sold 82 items and earned $115.56 for their school.

Answer 1

Mr. Sanchez’s class sold 51 snickers and Mr. Kelly’s class sold 31 bottles of fruit juice.

Step-by-step explanation:

Step 1:

Assume x is the number of snickers sold and y is the number of fruit juices sold. It is given that both the classes sold 82 items in total. so

$x + y = 82$, take this as equation 1.

It is also given they both earned $115.56 out of which snickers sold for $1.50 each and fruit juice sold for $1.26 each. So,

$1.50x + 1.26y = 115.56$, take this as equation 2.

Step 2:

Now we solve these equations.

Equation 1 can also be, $y = 82 - x$, take this as equation 3.

Substitute equation 3 in 2,

$1.50x + 1.26(82-x) = 115.56,$

$1.50x + 103.32-1.26x=115.56.$

Taking the known values to the right and keeping the unknown x values on the right, we get

$0.24x = 115.56-103.32 = 12.24$

$0.24x = 12.24, x = 51.$

Substitute this is equation 1,

$x + y = 82, y = 82 - x, y = 82 - 51 = 31.$

So Mr. Sanchez’s class sold 51 snickers and Mr. Kelly’s class sold 31 bottles of fruit juice.