NAME _____________________________________________ DATE ____________________________ PERIOD _____________
MC1 Chapter 1 Lesson 6 Review WS
Equivalent Ratios
Two ratios are said to be equivalent ratios if they have the same unit rate.
Example 1
Determine if each pair of rates are equivalent. Explain your reasoning.
$35 for 7 balls of yarn; $24 for 4 balls of yarn.
Write each rate as a fraction. Then find its unit rate.
÷7
$35
7 balls of yarn
=
÷4
$5
1 ball of yarn
$24
4 balls of yarn
÷7
=
$6
1 ball of yarn
÷4
Since the rates do not share the same unit rate, they are not equivalent.
Example 2
Determine if each pair of ratios are equivalent. Explain your reasoning.
8 boys out of 24 students; 4 boys out of 12 students
Write each ratio as a fraction.
÷2
8 boys
24 students
=
4 boys
12 students
 The numerator and the denominator are divided by the same number.
÷2
Since the fractions are equivalent, the ratios are equivalent.
Exercises
Determine if each pair of ratios or rates are equivalent. Explain your reasoning.
1. $12 saved after 2 weeks; $36 saved after 6 weeks
2. $9 for 3 magazines; $20 for 5 magazines
3. 135 miles driven in 3 hours; 225 miles driven in 5 hours
NAME _____________________________________________ DATE ____________________________ PERIOD _____________
4. $18 for 3 bracelets; $30 for 5 bracelets
5. 120 Calories in 2 servings; 360 Calories in 6 servings
6. 4 hours worked for $12; 7 hours worked for $28
7. 15 blank CDs for $5; 45 blank CDs for $15
8. 24 points scored in 4 games; 48 points scored in 10 games
9. 15 out of 20 students own hand-held games; 105 out of 160 students own hand-held games.
10. 30 minutes to jog 3 miles; 50 minutes to jog 5 miles
11. $3 for 6 muffins; $9 for 18 muffins
12. 360 miles driven on 12 gallons of fuel; 270 miles driven on 9 gallons of fuel