Question

How does the equation change if tamira has 60 dollars to spend on a mixture of almonds and cashews? How many pounds of nuts can she buy if she buys only cashews ? Only almods? A mixture of both

Answer 1

Almonds cost $8 per pound and Cashews cost $10 per pound.

Assuming pounds of Almonds are denoted as a and Cashews are c, the formula will be:

8a + 10c = 60

Only Cashews:

This means that Almonds would be zero.

8(0) + 10c = 60

10c = 60

c = 60/10

c = 6 pounds of cashews

Only Almonds

8 * a + 10(0) = 60

8a = 60

a = 60/8

a = 7.5 pounds of almonds

A mixture of both.

We can use the formula above to calculate how many of each she can buy but she cannot buy more than 7.5 almonds or more than 6 cashews as she does not have enough money on her.

Assuming she wanted to buy 5 pounds of almonds, she would be able to buy:

8 * 5 + 10c = 60

40 + 10c = 60

10c = 60 - 40

c = 20/10

c = 2 pounds of cashews