Question

3. Red candy costs $2.50 per pound. Green candy costs $4.75 per pound. You bought ten pounds of candy for $38.50. How many pounds of green candy did you buy?

Answer 1

Answer:

6 pounds of green candy

Step-by-step explanation:

Let r be the weight of red candy

Let g be the weight of green candy

Total weight = 10 pounds

r + g = 10 -------------------------(I)

Total cost = $ 38.50

2.50r + 4.75g = 38.50  --------------(II)

Multiply equation (I) by -2.50

(I)* (-2.50)             -2.50r - 2.50g = -25.0

(II)                          2.50r + 4.75g = 38.50   {Now add and r will be eliminated}

                                        2.25g = 13.50

g =13.50/2.25

g = 6

Plug in the value of g in equation (I)

r + 6 = 10

r = 10 - 6

r = 4