Solve this application problem using a system of equations: Jenny Crane's Candy Store sold a

total of 53 pounds of gummy bears. There were two colors sold. The blue gummy bears were

priced at $4.50 per pound, and the red gummy bears were priced at $1.14 per pound. In all,

They sold $127.62 of the two types of gummy bears. How many pounds of each kind were sold?

Question

Mathematics

Rush

2 April, 13:10

Solve this application problem using a system of equations: Jenny Crane's Candy Store sold a

total of 53 pounds of gummy bears. There were two colors sold. The blue gummy bears were

priced at $4.50 per pound, and the red gummy bears were priced at $1.14 per pound. In all,

They sold $127.62 of the two types of gummy bears. How many pounds of each kind were sold?

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Answers (1)

Know the Answer?

Aron Wiley · Answer 1

I'm not 100% sure but I think the red gummies were sold at 3.66lbs and the blue ones 10.85

Step-by-step explanation:

I put x as the blue gummies and y for the red gummies.

4.50x+1.14y=53

you set the equation in terms of x

x=53-1.14y/4.50

you replace this new value of x into theoriginal equation as the value of x and solve for y, where you get y=3.66

since you now have the value of y, you plug it back in to the original equation and solve for x, where you get x=10.85

I hope it's right.