Let’s solve each problem one by one, step by step.
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Problem 1:
Coach John and his team pitched 12 tents in 192 minutes. How long did they take to pitch 8 tents?
Step 1: Find how long it takes to pitch
one tent.
→ 192 minutes ÷ 12 tents =
16 minutes per tent
Step 2: Multiply by 8 tents.
→ 16 × 8 =
128 minutes
✔ Final Answer for Problem 1:
128 minutes
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Problem 2:
Mary bought a box of 15 donuts for $26.25. How many boxes can she buy for $105?
Step 1: Find cost per box → already given:
$26.25 per box
Step 2: Divide total money by cost per box.
→ $105 ÷ $26.25
Let’s calculate:
26.25 × 4 = 105 → so,
4 boxes
✔ Final Answer for Problem 2:
4 boxes
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Problem 3:
Superdeals.com offers a pack of 21 Christmas tree ornaments for $7. How much will a customer pay to purchase 33 such ornaments?
Step 1: Find cost per ornament.
→ $7 ÷ 21 =
$1/3 per ornament (or about $0.333...)
Step 2: Multiply by 33 ornaments.
→ 33 × (1/3) =
$11
✔ Final Answer for Problem 3:
$11
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Problem 4:
A mall has six disabled parking spaces for every 150 parking spaces. If there are 1,000 parking spaces in all, what is the number of disabled parking spaces?
Step 1: Set up a proportion.
→ 6 disabled / 150 total = x disabled / 1000 total
Step 2: Cross-multiply or simplify.
First, simplify 6/150 → divide numerator and denominator by 6 → 1/25
So, 1 out of every 25 spaces is disabled.
Step 3: 1000 ÷ 25 =
40
✔ Final Answer for Problem 4:
40 disabled parking spaces
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Problem 5:
Emily posted 360 videos in 20 weeks. At a constant rate, how many videos did she upload in 12 weeks?
Step 1: Find videos per week.
→ 360 ÷ 20 =
18 videos per week
Step 2: Multiply by 12 weeks.
→ 18 × 12 =
216 videos
✔ Final Answer for Problem 5:
216 videos
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Final Answer:
1) 128 minutes
2) 4 boxes
3) $11
4) 40 disabled parking spaces
5) 216 videos
Parent Tip: Review the logic above to help your child master the concept of proportion worksheet 7th grade.
