Chapter 3: Q. 3.63 (page 348)

Orlando is mixing nuts and cereal squares to make a party mix. Nuts sell for $$7$ a pound and cereal squares sell for $$ 4$ a pound. Orlando wants to make $30$ pounds of party mix at a cost of $$ 6.50$ a pound, how many pounds of nuts and how many pounds of cereal squares should he use?

Short Answer

Expert verified

Orlando should use $25$ pounds of nuts and $5$ pounds of cereal squares.

Step by step solution

Step 1. Given information.

Consider the given question,

Total quantity of party mix is $30$ pounds.

Cost of one pound of party mix is $$ 6.5$ .

Cost of one pound of nuts is $$ 7$ .

Cost of one pound of cereal square is $$ 4$ .

Assume xto be the required quantity of nuts. Then,

$30 - x =$ Quantity of cereal square

Make the table,

Step 2. Form the equation.

Consider the table, we can say,

$7 x + 4 (30 - x) = 30 (6.5) 7 x + 120 - 4 x = 195 3 x = 75 x = 25$

Then,

$= 30 - x = 30 - 25 = 5$

Therefore, Orlando should use $25$ pounds of nuts and $5$ pounds of cereal squares.

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Orlando is mixing nuts and cereal squares to make a party mix. Nuts sell for $\(7$ a pound and cereal squares sell for $\) 4$ a pound. Orlando wants to make $30$ pounds of party mix at a cost of $$ 6.50$ a pound, how many pounds of nuts and how many pounds of cereal squares should he use?

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Form the equation.

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Orlando is mixing nuts and cereal squares to make a party mix. Nuts sell for \(7 a pound and cereal squares sell for \)4 a pound. Orlando wants to make 30 pounds of party mix at a cost of $6.50 a pound, how many pounds of nuts and how many pounds of cereal squares should he use?

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Form the equation.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Theoretical and Mathematical Physics

Applied Mathematics

Decision Maths

Statistics

Logic and Functions

Study anywhere. Anytime. Across all devices.

Orlando is mixing nuts and cereal squares to make a party mix. Nuts sell for $\(7$ a pound and cereal squares sell for $\) 4$ a pound. Orlando wants to make $30$ pounds of party mix at a cost of $$ 6.50$ a pound, how many pounds of nuts and how many pounds of cereal squares should he use?