Its due ! mr. sanchez's class sold fruit pues for $1.65 and mr. kellys class sold bottles of fruit juice for $1.36 each. together, he classes sold 79 items and earned $118.17 for their school. (a) write and solve a system of equations that model the problem. show all your work! (b) which class earned more money? (c) how much more money did the class earn?

a. 1.65s+1.36k=118.17 and s+k=79

b. Mr Sanchez with $61.05

c. 61.05 - 57.12 = $3.93

Step-by-step explanation:

A system of equations is 2 more or more equations with the same variables that relate information about a situation. Here the variables will be S for the number of Mr. Sanchez's class fruit sold and K for the number of Mr. Kelly's bottles of fruit juice sold.

The first equation can be written as 1.65s +1.36k = 118.17 for the total amount of money sold. This equation says $1.65 per item sold by Mr. Sanchex plus 1.36 per item sold by Mr. Kelly equals a total of $118.17.

The second equation can be written between the total number of items sold which was 79. This is s+k=79.

To solve, graph, substitute or eliminate to find s or k. Here we will substitute by rearranging s+k=79 as k=79-s.

1.65s+1.36(79-s)=118.17

1.65s+107.44-1.36s=118.17

0.29s+107.44=118.17

0.29s = 10.73

s= 37 items sold in Mr. Sanchez's

Substitute again into the equation s+k=79.

37+k=79

k=79-37

k= 42 items sold in Mr. Kelly's

This means Mr. Sanchez's earned $1.65(37)=$61.05 and Mr. Kelly's earned $1.36(42)= $57.12

ab will be equal to