Chapter 3: Q. 194 (page 352)

Macario is making $12$ pounds of nut mixture with macadamia nuts and almonds. Macadamia nuts cost $$9$ per pound and almonds cost $$ 5.25$ per pound. How many pounds of macadamia nuts and how many pounds of almonds should Macario use for the mixture to cost $$ 6.50$ per
pound to make?

Short Answer

Expert verified

4 pounds of Macadamia nuts and $8$ pound of almond.

Step by step solution

Step 1. The given information is

Macario is making $12$ pounds of nut mixture with macadamia nuts and almonds. Macadamia nuts cost $$ 9$ per pound and almonds cost $$ 5.25$ per pound.

Step 2. Let the pounds of macadamia nuts and pounds of almonds be m, a

$m + a = 12$ equation $1$

$9 m + 5.25 a = 12 \times 6.50 = 78$ equation $2$

multiply the equation $1$ by $9$ an equation $2$ by $1$

$9 m + 9 a = 108 9 m + 5.25 a = 78$

Solving the equation we get,

$3.75 a = 30 a = 8$

putting value of $a$ in equation $1$

$m + 8 = 12 m = 4$

hence $4$ pound of macademia and $8$ pound of almonds.

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Macario is making $12$ pounds of nut mixture with macadamia nuts and almonds. Macadamia nuts cost $\(9$ per pound and almonds cost $\) 5.25$ per pound. How many pounds of macadamia nuts and how many pounds of almonds should Macario use for the mixture to cost $$ 6.50$ per
pound to make?

Short Answer

Step by step solution

Step 1. The given information is

Step 2. Let the pounds of macadamia nuts and pounds of almonds be m, a

Solving the equation we get,

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Most popular questions from this chapter

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Macario is making 12pounds of nut mixture with macadamia nuts and almonds. Macadamia nuts cost \(9per pound and almonds cost \)5.25per pound. How many pounds of macadamia nuts and how many pounds of almonds should Macario use for the mixture to cost $6.50perpound to make?

Short Answer

Step by step solution

Step 1. The given information is

Step 2. Let the pounds of macadamia nuts and pounds of almonds be m, a

Solving the equation we get,

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Theoretical and Mathematical Physics

Mechanics Maths

Discrete Mathematics

Applied Mathematics

Pure Maths

Study anywhere. Anytime. Across all devices.

Macario is making $12$ pounds of nut mixture with macadamia nuts and almonds. Macadamia nuts cost $\(9$ per pound and almonds cost $\) 5.25$ per pound. How many pounds of macadamia nuts and how many pounds of almonds should Macario use for the mixture to cost $$ 6.50$ per
pound to make?