Question

practice • spiral review • extra practice
each problem. then solve the problem. (examples 1 and 2)

1. ishi bought a $6.95 canvas and 8 tubes of paint. she spent a total of $24.95 on the canvas and paints. determine the cost of each tube of paint.
2. at the market, meyer buys a bunch of bananas for $0.65 per pound and a frozen pizza for $4.99. the total for his purchase was $6.94, without tax. determine how many pounds of bananas meyer bought.
3. the current temperature is 48°f. it is expected to drop 1.5°f each hour. determine in how many hours the temperature will be 36°f.
4. the table shows the amount of water joel had in his bathtub to wash his dog and his desired water level. if the water drains at a rate of 14 gallons per minute, how many minutes will it take the tub to drain to his desired level?

starting water level 42 gallons
desired water level 28 gallons

Explanation:

Problem 2

Step1: Let \( x \) be the cost of each tube of paint. The total cost is the cost of the canvas plus the cost of 8 tubes of paint. So we can write the equation: \( 6.95 + 8x = 24.95 \)

Step2: Subtract 6.95 from both sides: \( 8x = 24.95 - 6.95 \)

\( 8x = 18 \)

Step3: Divide both sides by 8: \( x = \frac{18}{8} = 2.25 \)

Step1: Let \( x \) be the number of pounds of bananas. The total cost is the cost of bananas plus the cost of pizza. So the equation is: \( 0.65x + 4.99 = 6.94 \)

Step2: Subtract 4.99 from both sides: \( 0.65x = 6.94 - 4.99 \)

\( 0.65x = 1.95 \)

Step3: Divide both sides by 0.65: \( x = \frac{1.95}{0.65} = 3 \)

Step1: Let \( x \) be the number of hours. The temperature after \( x \) hours is the current temperature minus \( 1.5x \). So the equation is: \( 48 - 1.5x = 36 \)

Step2: Subtract 48 from both sides: \( -1.5x = 36 - 48 \)

\( -1.5x = -12 \)

Step3: Divide both sides by -1.5: \( x = \frac{-12}{-1.5} = 8 \)

Answer:

The cost of each tube of paint is \$2.25.

Problem 4