Question

Mark ordered gummy bears and caramels for his candy shop. He ordered a total of twenty five pounds of there ingredients. Gummy bears cost $5 per pound, and caramels cost $8 per pound. He spent a total of $140.

A. Write a system of equations that describes the situation. Define each variable you use.

B. Solve the system of equations from part A using the substitution or elimination method. Write your solution using a complete sentence. Is the solution reasonable? Why or why not?

Answer 1

20 pounds of Gummyballs and 5 pounds of caramel was ordered

Explanation:

Let :

Gummyball = a

Caramel = b

a + b = 25 - - - (1)

5a + 8b = 140 - - - (2)

From (1)

a = 25 - b

Put into (2)

5(25 - b) + 8b = 140

125 - 5b + 8b = 140

125 + 3b = 140

3b = 15

b = 5

From a = 25 - b

a = 25 - 5

a = 20

Hence,

20 pounds of Gummyballs and 5 pounds of caramel was ordered