Question

Denise likes to snack on pecans and almonds. Pecans sell for $8.15 a pound and almonds sell for $6.48 a pound. Denise wants to buy a mixture of nuts that weigh 5 pounds and plans to spend $35.74. How many pounds of each nut will Denise buy?

Answer 1

4.879

Explanation:

Answer 2

Answer: Let's assume that Denise buys "x" pounds of pecans and "y" pounds of almonds. Since she wants to buy a mixture of nuts that weighs 5 pounds, we can write:

x + y = 5

We also know that Denise plans to spend $35.74 on nuts. The cost of the pecans and almonds combined is:

8.15x + 6.48y

So, we can write another equation:

8.15x + 6.48y = 35.74

We now have two equations with two variables, which we can solve simultaneously. Let's solve for "y" in the first equation:

y = 5 - x

We can substitute this expression for "y" into the second equation:

8.15x + 6.48(5 - x) = 35.74

Simplifying this equation, we get:

8.15x + 32.4 - 6.48x = 35.74

1.67x = 3.34

x = 2

So, Denise will buy 2 pounds of pecans. We can substitute this value of "x" back into the first equation to find the amount of almonds she will buy:

2 + y = 5

y = 3

Therefore, Denise will buy 2 pounds of pecans and 3 pounds of almonds.

Explanation: