Homework SourseThe confectioner makes boxes of candy in two sizes The small
The confectioner makes boxes of candy in two sizes. The small box contains 9 pieces of candy. The large box contains 15 pieces of candy. If she made 1152 pieces of candy for a total of 100 boxes, how many of each box did she make? Include an explanation of how you solved this problem.
Solution
Let assume she made x no. of small boxes and y nos. of large boxes.
So, x +y = 100 ----(1)
Candy : 9x +15y = 1152 ---(2)
solve the equations to get (x , y)
multiply equation 1 by 9 and subtract from equation 1:
9x +9y = 900
9x+ 15y = 1152
-------------(-)
-6y = -252 ; y = 42
x = 58
Solution : ( x , y) = ( 58 , 42)
