Problem Solving Using Proportions

Peggy rode her bike 25 miles in 2 hours. At this rate, how far will she ride in 3 hours?

• Peggy will ride 37.5 miles in 3 hours

• Peggy will ride 16.66 miles in 3 hours

• Peggy will ride 150 miles in 3 hours

• Peggy will ride 50 miles in 3 hours

Camden went bowling with some friends. It cost $21.00 to rent 10 pairs of shoes. Fifteen people were bowling. How much would it cost him to pay for 15 pairs of shoes?

• It costs $14.00 for 15 pairs of shoes

• It costs $7.14 for 15 pairs of shoes

• It costs $31.50 for 15 pairs of shoes

• It costs $42.00 for 15 pairs of shoes

Sergio ate two cookies which contained a total of 14 chocolate chips. His friend, Evan, exclaimed, “Wow. I ate 49 chocolate chips!” Every cookie has the same number of chocolate chips. How many cookies did Evan eat?

• Evan ate 14 cookies

• Evan ate 3.5 cookies

• Evan ate 35 cookies

• Evan ate 7 cookies

Bella got a $100 gift card for her birthday that she is going to use to buy some new video games. The games she wants are on sale 2 for $60.00. At this rate, how many games can she buy?

Hint: You do not need to buy in multiples of 2. Another hint: think about your answer.

• Bella can buy 3 games

• Bella can buy 3.33 games

• Bella can buy 4 games

• Bella can buy 3.5 games

A microscope slide shows 37 red blood cells out of 60 blood cells. How many red blood cells would be expected in a sample of the same blood that has 900 blood cells?

Mathematical Equivalence

ON

The ratio of black keys to white keys on a piano is 5 to 7.  Complete the table to create additional equivalent ratios.

d

c

e

f

84

63

35

28

55

21

The ratio of black keys to white keys on a piano is 5 to 7.  Complete the table to create additional equivalent ratios.​

d

c

e

f

35

63

55

28

84

21

Michaela spent $234 preparing for a party with 18 guests. Each guest costs the same amount of money. How many guests could attend a party that cost $104 to prepare?

Mathematical Equivalence

ON

The ratio of the measures of the sides of a triangle is 21:8:14. If the perimeter of the triangle is 215 feet, find the length of each side.

• 40 ft

• 8 corresponds to

• 70 ft

• 21 corresponds

• 5

• 14 corresponds to

• 105 ft

• x =

The ratio of black keys to white keys on a piano is 5 to 7.  Complete the table to create additional equivalent ratios.

d

c

e

f

28

84

63

35

21

55