Question

Sweets for the Sweet sells candy in large bins. Each bin normally contains one type of candy, but a customer dumped the gumballs and mega jawbreakers into the same bin. The sales clerk checks the sales records and knows the bin must contain 847 pieces of candy. He weighs the bin and finds it weighs 2851.9 grams. An individual gumball weighs 2.5 grams. An individual jawbreaker weighs 4.2 grams. SOLVE THE SYSTEM TO FIND THE NUMBER OF GUMBALLS AND JAWBREAKERS.

Answer 1

To find the number of gumballs and jawbreakers, we can use a system of equations based on the total number of candies (847) and the total weight (2851.9 grams), with the known weights of individual gumballs (2.5 grams) and jawbreakers (4.2 grams).

Step-by-step explanation:

The situation involves a bin with 847 pieces of candy, consisting of gumballs and jawbreakers weighing a total of 2851.9 grams. We can use a system of linear equations to solve for the number of each type of candy, using the weight of individual gumballs, which is 2.5 grams, and the weight of individual jawbreakers, which is 4.2 grams.

Let G represent the number of gumballs and J represent the number of jawbreakers. We can set up the following system of equations:
1. G + J = 847 (total number of candies)
2. 2.5G + 4.2J = 2851.9 (total weight of candies in grams)

These can be solved simultaneously to find the values of G and J.