Question

Quantity (in lbs.) Value (per lb.) Total Butterscotch x 2.15 2.15x Peppermint y 2.35 2.35y Mixture 10 2.20 22 Using the table, match the items in the following lists. 1. pounds of butterscotch candy $2.20 2. pounds of peppermint candy y 3. price per pound of peppermints $22.00 4. price per pound of butterscotch $2.15 5. price per pound of mixture x 6. cost for ten pounds of mixture $2.35

Answer 1

1.pounds of butterscotch: x

2.pounds of peppermint: y

3.price per pound of peppermint: $2.35

4.price per pound of butterscotch: $2.15

5.price per pound of mix: $2.20

6.cost of 10 pounds of mix: $22.00

Answer 2

1. pounds of butterscotch: x
2. pounds of peppermint: y
3. price per pound of peppermint: $2.35
4. price per pound of butterscotch: $2.15
5. price per pound of mix: $2.20
6. cost of 10 pounds of mix: $22.00

Explanation:

It's a reading comprehension problem. All the answers are given in the table.

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Solution to the equations

If you actually want to find the values of x and y, you can write equations for the quantity of candy and the cost of the mix:

• x + y = 10 . . . . . . . . . . . . . . the total number of pounds of candy
• 2.15x +2.35y = 22.00 . . . .the cost of 10 pounds of mix

You can subtract 2.15 times the first equation from the second to get

(2.15x +2.35y) -2.15(x +y) = (22.00) -2.15(10)

020y = 0.50 . . . . . simplify

y = 0.50/0.20 = 2.5 . . . pounds of peppermint

x = 10 - 2.5 = 7.5 . . . . from the first equation, pounds of butterscotch