Chapter 1, Problem 4CA

(a)

To determine

To find: the number of cans bought

Answer to Problem 4CA

Thenumber of cans bought is $132=24x+28\left(5-x\right)$

Explanation of Solution

Given:

  

Calculation:

Write an equation:

Define a variable.

Let $x=$ Number of white cans

Write an equation.

  $132=24x+28\left(5-x\right)$

Conclusion:

The number of cans bought is $132=24x+28\left(5-x\right)$

(b)

To determine

To find:the amount saved

Answer to Problem 4CA

The amount saved is $\$4$

Explanation of Solution

Calculation:

Find the number of each color of can bought:

Given equation

  $132=24x+28\left(5-x\right)$

Distribute.

  $132=24x+140-28x$

Combine like terms.

  $132=-4x+140$

Subtract 140 from both sides.

  $-8=-4x$

Divide both sides by $-4$ .

2 White, 3 Blue

Find the cost of 3 White and 2 Blue:

Given equation

  $C=24x+28\left(5-x\right)$

Substitute + = 3 into the equation.

  $C=24\left(3\right)+28\left(5-3\right)$

Simplify.

  $C=24\left(3\right)+28\left(2\right)$

Multiply.

  $C=72+56$

Add.

  $C=128$

Find the amount saved:

  $132-128=\$4$

Conclusion:

The amount saved is $\$4$