Problem 1 :
While remodeling her kitchen, Angela is repainting. She estimates that she paints 55 square feet every half-hour. How many square feet does Angela paint per hour?
Problem 2 :
Paige mows 1/6 acre in 1/4 hour. How many acres does Paige mow per hour?
Problem 3 :
Greta uses 3 ounces of pasta for every 3/4 cup of sauce. How much pasta does she use per cup of sauce?
1. Answer :
Step 1 :
Determine the units of the rate.
The rate is area in square feet per time in hours.
Step 2 :
Find Angela’s rate of painting in area painted per time.
Area painted : 55 sq ft and Time : 1/2 hour
Area painted/Time = (55 square ft)/(1/2 hour)
The fraction represents area in square feet per time in hours.
Step 3 :
Find Angela’s unit rate of painting in square feet per hour.
Rewrite the fraction as division :
(55 square ft)/(1/2 hour) = 55 ÷ 1/2
Multiply by the reciprocal :
= 55 x 2/1
= 110 square feet/1 hour
(The unit rate has a denominator of 1)
Angela paints 110 square feet per hour.
2. Answer :
Step 1 :
Determine the units of the rate.
The rate is area in acre per time in hours.
Step 2 :
Find Paige's rate of mowing in area mowed per time.
Area mowed : 1/6 acre and Time : 1/4 hour
Area mowed/Time = (1/6 acre)/(1/4 hour)
The fraction represents area in acre per time in hours.
Step 3 :
Find Paige’s unit rate of mowing in acre per hour.
Rewrite the fraction as division :
(1/6 acre)/(1/4 hour) = 1/6 ÷ 1/4
Multiply by the reciprocal :
= (1/6) x 4/1
= (4/6)/1
= 2/3 acre/1 hour
(The unit rate has a denominator of 1)
Paige mows 2/3 of an acre per hour.
3. Answer :
Step 1 :
Determine the units of the rate. The rate is in ounces per cup.
Step 2 :
Find Greta's rate of using pasta in ounces per cup of sauce.
Pasta used : 3 ounces and Sauce : 3/4 cups
Pasta used/Sauce = 3 ounces/(3/4 cups)
The fraction represents pasta in ounces per 3/4 cup of sauce.
Step 3 :
Rewrite the fraction as division :
3 ounces/(3/4 cups) = 3 ÷ 3/4
Multiply by the reciprocal :
= 3 x 4/3
= 4/1
= 4 ounces/1 cup
(The unit rate has a denominator of 1)
Greta uses 4 ounces of pasta for every 1 cup of sauce.
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