Chapter 6, Problem 4STP

To determine

To find: the price of an electric drill

Answer to Problem 4STP

The price of an electric drill is: $116.92$

Explanation of Solution

Given:

Amountof 4 table saws and 9 electric drills = $881

Receipts from the saws exceeded the receipts from the drills by $71.

Calculation:

Assume the price of 1 table saw is: $x$ .

Again, the price of 1 electric drill is: $y$ .

Here the equations are

  $4x+9y=881\dots \dots (1)$

And,

  $x=y+71\dots \dots (2)$

The strategy is to find the price of an electric drill.

Substitute the value of $x$ in (1) to get:

  $4(y+71)+9y=881$

  $4y+284+9y=881$

  $13y=881-284$

  $\frac{13y}{13}=\frac{597}{13}$

[Divide both sides by 13]

  $y=45.92$

Again, from equation (2)

  $x=45.92+71$

  $x=116.92$

Hence, the price of an electric drill is: $116.92$

Conclusion:

Hence, the price of an electric drill is: $116.92$