Cost, Ratios, and Rates Problems

Mr. Richards reviews Grade 6 Unit 2 Lesson 11 practice problems, covering topics like paint ratios, car travel distance, olive oil production, playground ratios, heart rate comparison, and cost calculations. Each question is explained with step-by-step reasoning to help students understand the mathematical concepts involved.

If the original ratio of yellow to red paint is 5:6, what would be the ratio if both amounts are multiplied by 3?

• 15:18

• 20:24

• 5:6

• 10:12

How far will a car travel in 14 hours if it moves at a constant speed of 70 kilometers per hour?

• 840 kilometers

• 1,050 kilometers

• 700 kilometers

• 980 kilometers

If 20 pounds of olives produce 3 liters of olive oil, how many liters can be produced from 3,000 pounds?

• 300 liters

• 450 liters

• 150 liters

• 600 liters

For every 24 children on the playground, how many adults are needed according to the ratio?

• 2 adults

• 8 adults

• 6 adults

• 4 adults

If Jada's heart beats 25 times in 10 seconds while jogging, what is her heart rate per minute?

• 140 beats

• 130 beats

• 160 beats

• 150 beats

Which activity results in a higher heart rate for Jada: basketball or jogging?

• Basketball

• Cannot be determined

• Jogging

• Both are the same

If the ratio of adults to children is 2:24, how many adults are needed for 96 children?

• 10 adults

• 6 adults

• 8 adults

• 12 adults

What is the cost per ear of corn if 6 ears cost $1.80?

• $0.30

• $0.40

• $0.25

• $0.35

If 12 apples cost $2.88, what is the cost per apple?

• $0.20

• $0.28

• $0.24

• $0.30

What is the cost per tomato if 5 tomatoes cost $3.10?

• $0.62

• $0.50

• $0.75

• $0.55