Question

A small company makes two types of music boxes, jeweled and enameled. The company originally made a total of 25 music boxes a week. Then the number of jeweled boxes produced was tripled and the number of enameled boxes was doubled, so that 65 boxes are now produced cach wee.. How many of each type of music box are now being produced each week?

Answer 1

45 jeweled and 20 enameled music boxes.

Explanation:

( j stands for jeweled and e stands for enameled )

j + e = 25 The equation for the original total of music boxes.

3j + 2e = 65 The equation for the current total of music boxes.

15{ j } + 10{e} = 25 Since the total is 25, I know that the variable will be a multiple of 5. (since that's the only way to get a number that ends in 5).

3(15) + 2(10) = 65

45 + 20 + 65