1. 36 correct answers out of 104 total questions means the score is 36/104. Simplify: divide numerator and denominator by 4 → 9/26. So, 9 out of 26 questions were answered correctly.
2. Total gas cost = $0.36 per gallon × 14 gallons = $5.04. Cost per mile = $5.04 ÷ 175 miles = $0.0288 per mile, or about $0.03 per mile.
3. Total flour used = 4 loaves × 4 cups each = 16 cups. Cost per cup = $3.00 ÷ 16 cups = $0.1875 per cup, or $0.19 per cup rounded.
4. Unit price for 4 yogurt cups = $5 ÷ 4 = $1.25 per cup. For 10 cups at same unit price: 10 × $1.25 = $12.50.
5. At Spot-Less: $4.50 per shirt. At No Mess: $21.00 for 5 shirts → $21.00 ÷ 5 = $4.20 per shirt. Since $4.20 < $4.50, No Mess Dry Cleaners is the better deal.
6. Lisa’s rate: 10 laps in 18 minutes → 10/18 = 5/9 laps per minute. Marie’s rate: 8 laps in 14 minutes → 8/14 = 4/7 laps per minute. Compare 5/9 and 4/7: cross-multiply → 5×7=35, 4×9=36. Since 35 < 36, 5/9 < 4/7 → Marie is faster. To find how long for Lisa to run 10 laps at Marie’s pace: Marie runs 4/7 laps per minute → time for 10 laps = 10 ÷ (4/7) = 10 × 7/4 = 70/4 = 17.5 minutes.
Parent Tip: Review the logic above to help your child master the concept of ratio and rate problems worksheet.
