Let's solve each problem step by step from the worksheet titled
"Unit Rate". I'll go through each question, explain the concept involved, and provide a clear solution.
---
1) Jessica bakes 112 muffins in 7 batches. How many muffins does each batch contain?
Step 1: We need to find how many muffins are in one batch — this is a
unit rate (muffins per batch).
We divide total muffins by number of batches:
$$
\frac{112 \text{ muffins}}{7 \text{ batches}} = 16 \text{ muffins per batch}
$$
✔ Answer: 16 muffins per batch
---
2) Henry is an avid reader. He devours 96 pages in half an hour. How many pages does Henry read per minute?
Step 1: First, convert half an hour to minutes:
- Half an hour = 30 minutes
Now find pages per minute:
$$
\frac{96 \text{ pages}}{30 \text{ minutes}} = 3.2 \text{ pages per minute}
$$
✔ Answer: 3.2 pages per minute
---
3) Simon neatly arranges 35 radio-controlled cars in 5 rows on the shelf. Find the number of cars placed in each row.
Step 1: Divide total cars by number of rows:
$$
\frac{35 \text{ cars}}{5 \text{ rows}} = 7 \text{ cars per row}
$$
✔ Answer: 7 cars per row
---
4) Diana bought two dolls for her niece. How much did each doll cost, if she purchased them for $70?
Step 1: Total cost divided by number of dolls:
$$
\frac{70}{2} = 35
$$
✔ Answer: Each doll cost $35
---
5) On New Year’s Eve, the temperature fell by 24 degrees in a span of 6 hours. By how many degrees did the temperature fall every hour?
Step 1: Divide total temperature drop by number of hours:
$$
\frac{24^\circ}{6 \text{ hours}} = 4^\circ \text{ per hour}
$$
✔ Answer: 4 degrees per hour
---
6) Four business class cabins in AirAurora have a total capacity of 360 passengers. How many passengers can travel per cabin?
Step 1: Divide total passengers by number of cabins:
$$
\frac{360 \text{ passengers}}{4 \text{ cabins}} = 90 \text{ passengers per cabin}
$$
✔ Answer: 90 passengers per cabin
---
✔ Final Answers Summary:
1)
16 muffins per batch
2)
3.2 pages per minute
3)
7 cars per row
4)
$35 per doll
5)
4 degrees per hour
6)
90 passengers per cabin
---
These problems all involve
finding unit rates, which means determining how much of one quantity corresponds to
one unit of another (e.g., muffins per batch, pages per minute, etc.). The general method is:
>
Unit Rate = Total Quantity ÷ Number of Units
Let me know if you'd like these explained with visual models or diagrams!
Parent Tip: Review the logic above to help your child master the concept of unit rate 7th grade worksheet.
