Question

Lemon drops and jelly beans are mixed to make a 100 pound mix. If the lemon drops cost $1,90 per pound and jelly beans cost $1.20 per pound, how many pounds of jelly beans are needed to make the mix cost $1.48 per pound?

Answer 1

To find the number of pounds of jelly beans needed to make the mix cost $1.48 per pound, set up an equation and solve for x. The number of pounds of jelly beans needed is 60.

Step-by-step explanation:

To find the number of pounds of jelly beans needed to make the mix cost $1.48 per pound, we can set up an equation based on the given information. Let's say the number of pounds of jelly beans is x. The cost of the lemon drops in the mix is 1.90 * (100 - x) and the cost of the jelly beans is 1.20 * x. The cost of the entire mix is (1.90 * (100 - x)) + (1.20 * x). We can set this equal to the desired cost of $1.48 per pound and solve for x:

(1.90 * (100 - x)) + (1.20 * x) = 1.48 * 100

Now we can solve for x:

1. Distribute the 1.90 and the 1.20: 190 - 1.90x + 1.20x = 148
2. Combine like terms: 190 - 0.70x = 148
3. Subtract 190 from both sides: -0.70x = -42
4. Divide both sides by -0.70 to solve for x: x = 60

Therefore, 60 pounds of jelly beans are needed to make the mix cost $1.48 per pound.