Question

Marcy needs to make 5 lb of a cashew/raisin mixture for a party. Her local grocery store sells raisins for $4.50/lb and cashews for $9.50/lb. How many pounds of raisins and cashews should she buy if she wants to spend $40? Enter your answers in the boxes. raisins: lb cashews: lb

Answer 1

Answer:

Pounds of raisins = 1.5 lb

Pounds of cashew = 3.5 lb

Step-by-step explanation:

Let

Pounds of raisins = x

Pounds of cashew = y

x + y = 5 (1)

4.50x + 9.50y = 40 (2)

From (1)

x = 5 - y

Substitute x = 5 - y into

4.50x + 9.50y = 40

4.50(5 - y) + 9.50y = 40

22.50 - 4.50y + 9.50y = 40

- 4.50y + 9.50y = 40 - 22.50

5y = 17.5

y = 17.5 / 5

= 3.5

y = 3.5lb

Substitute y = 3.5 into

x + y = 5

x + 3.5 = 5

x = 5 - 3.5

= 1.5

x = 1.5lb

Pounds of raisins = 1.5 lb

Pounds of cashew = 3.5 lb