Answer:
a. 1.65s+1.36k=118.17 and s+k=79
b. Mr Sanchez with $61.05
c. 61.05 - 57.12 = $3.93
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