3. mr. sanchez’s class sold fruit pies for $1.65 each and mr. kelly’s class sold bottles of fruit juice for $1.36 each. together, the 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.

Let x = the number of fruit pies sold.let y = the number of bottles of fruit juice sold.because 79 items were sold,x + y = 79                    (1)fruit pies  sold for $1.65 each and a  fruit  juice bottle  sold for $1.36 each. the total sale was $118.17, therefore1.65x + 1.36y = 118.17divide through by 1.65 to obtainx + 0.8242y = 71.6182      (2)subtract (2) from (1).0.1758y = 7.3818y = 7.3818/.1758 = 42  (nearest integer)from (1), obtainx = 79 - 42 = 37answer: 37 fruit pies and 42 fruit juice bottles.

Cost of pie = $1.65 eachcost of juice =  $1.36 eachp + j = 79 > equation 11.65p + 1.36j = 118.17 > equation 21.65p + 1.36(79 - p) = 118.171.65p + 107.44 - 1.36p = 118.170.29p = 10.73p = 37, number of piesjuices = 79 - 37 = 42, number of pies