Section B Section B Checkpoint

Problem 1

At a store, ribbon is sold by the yard. Diego pays $3 for 12 yards of ribbon. Select all the unit rates that describe this situation:
A
4 dollars per yard
B
0.40 dollar per yard
C
0.25 dollar per yard
D
4 yards per dollar
E
0.25 yard per dollar
Show Solution
Solution
C, D
Show Sample Response
Sample Response
C, D

Problem 2

A worker at a clothing store can fold 60 shirts in 4 minutes. At this rate:

  1. How many shirts can the worker fold in 15 minutes? Show your reasoning.
  2. How long would it take the worker to fold 5 shirts? Show your reasoning.
Show Solution
Solution
  1. 225 shirts. Sample reasoning:

  2. 13\frac{1}{3} minute (or equivalent). Sample reasoning:
    • Dividing 60 by 12 gives 5. Dividing 4 by 12 gives 13\frac{1}{3}.
    • It takes 460\frac{4}{60} or 115\frac{1}{15} of a minute to fold 1 shirt, so to fold 5 shirts it would take 51155 \boldcdot \frac{1}{15}, or 515\frac{5}{15}, minute, which is 13\frac{1}{3} minute.
    • There are 240 seconds in 4 minutes, so it takes the worker 240÷60240 \div 60 or 4 seconds to fold 1 shirt. To fold 5 shirts takes 545 \boldcdot 4, or 20, seconds.
Show Sample Response
Sample Response
  1. 225 shirts. Sample reasoning:

  2. 13\frac{1}{3} minute (or equivalent). Sample reasoning:
    • Dividing 60 by 12 gives 5. Dividing 4 by 12 gives 13\frac{1}{3}.
    • It takes 460\frac{4}{60} or 115\frac{1}{15} of a minute to fold 1 shirt, so to fold 5 shirts it would take 51155 \boldcdot \frac{1}{15}, or 515\frac{5}{15}, minute, which is 13\frac{1}{3} minute.
    • There are 240 seconds in 4 minutes, so it takes the worker 240÷60240 \div 60 or 4 seconds to fold 1 shirt. To fold 5 shirts takes 545 \boldcdot 4, or 20, seconds.