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Question

A store is having a sale on almonds and jelly beans. For 3 pounds of almonds and 8 pounds of jelly beans, the total cost is $21. For 5 pounds of almonds and 2 pounds of jelly beans, the total cost is $18. Find the cost for each pound of almonds and each pound of jelly beans.

Answer 1

You first break it down into equations. Let A = cost per pound of Almonds and J = cost per pound of Jelly Beans.

3A + 8J = 21 and 5A + 2J = 18.

Now we have two variables and two equations. We solve for one in the first and plug it into the 2nd.

3A = 21-8J ⇒ A = (21-8J)/3

Plug this into the 2nd equation to get

5(21-8J)/3 + 2J = 18 ⇒ 5(21-8J) + 6J = 54 ⇒ 105 - 34J = 54 ⇒ -34J = -51 ⇒ J = 51/34 = 1.5 so Jelly Beans cost $1.50 per pound.

Now solving for A we get

5A + 2(1.5) = 18 ⇒ 5A = 18 - 3 = 15 ⇒ A = 3

So Almonds cost $3.00 per pound and Jelly Beans cost $1.50 per pound.

To check: 5(3.00) + 2(1.50) = 15 + 3 = 18 and 3(3.00) + 8(1.5) = 9 + 12 = 21.

Answer 2

X = cost of almonds

y = cost of jelly beans

3x + 8y = 22

5x + 2y = 18

multiply the top equation by -5

multiply the bottom equation by 3

then add the two equations and the

x drops out, then solve.

If you need further assistance look

me up as a tutor. Dennis

Answer 3

See this example!

https://www.wyzant.com/resources/answers/655141/for-5-lb-of-jelly-beans-and-3-lb-of-almonds-the-total-cost-is-15-for-2-lb-o