Question

ratio, proportion, & percent
use for questions 1-2: savannah sold boxes of cookies to raise money for a field trip. the table below shows how many boxes of each type of cookie she sold.

type of cookie	number of boxes
oatmeal raisin	18
peanut butter	30

1. what is the ratio of boxes of peanut butter cookies to boxes of oatmeal raisin cookies?

a. 4:9
b. 9:4
c. 3:5
d. 5:3

1. what is the ratio of chocolate chip cookies to the total boxes of cookies sold?

a. 2:5
b. 5:2
c. 5:16
d. 16:5
for questions 3-6, write each ratio in simplest form.

1. 14 inches to 4 feet

a. 2:7
b. 7:2
c. 7:24
d. 7:20

1. 8 cups to 12 pints

a. 1:3
b. 1:6
c. 2:3
d. 3:2

1. 5 gallons to 6 quarts

a. 3:5
b. 5:3
c. 3:10
d. 10:3

1. 54 seconds to 2 minutes

a. 9:10
b. 9:20
c. 2:27
d. 27:2

1. grant drove his car for 417 miles on 15 gallons of gas. how many miles per gallons does grant’s car get?
2. the various prices of orange juice are given below. which brand costs the least per ounce?

brand	size	price
b minute maid	130-ounce	$6.99
c simply orange	64-ounce	$3.84
d sunny d	96-ounce	$4.19

Explanation:

Step1: Get peanut butter, oatmeal counts

Peanut Butter: 30 boxes, Oatmeal Raisin: 18 boxes
Ratio = $30:18$
Simplify by GCD 6: $\frac{30}{6}:\frac{18}{6}=5:3$

Step2: Calculate total cookie boxes

Total = $32 + 18 + 30 = 80$
Ratio (Chocolate Chip:Total) = $32:80$
Simplify by GCD 16: $\frac{32}{16}:\frac{80}{16}=2:5$

Step3: Convert feet to inches

4 feet = $4\times12=48$ inches
Ratio = $14:48$
Simplify by GCD 2: $\frac{14}{2}:\frac{48}{2}=7:24$

Step4: Convert pints to cups

12 pints = $12\times2=24$ cups
Ratio = $8:24$
Simplify by GCD 8: $\frac{8}{8}:\frac{24}{8}=1:3$

Step5: Convert gallons to quarts

5 gallons = $5\times4=20$ quarts
Ratio = $20:6$
Simplify by GCD 2: $\frac{20}{2}:\frac{6}{2}=10:3$

Step6: Convert minutes to seconds

2 minutes = $2\times60=120$ seconds
Ratio = $54:120$
Simplify by GCD 6: $\frac{54}{6}:\frac{120}{6}=9:20$

Step7: Calculate miles per gallon

Miles per gallon = $\frac{\text{Total Miles}}{\text{Total Gallons}}=\frac{417}{15}=27.8$

Step8: Cost per ounce for each brand

• Tropicana: $\frac{3.99}{59}\approx0.0676$ dollars/ounce
• Minute Maid: $\frac{6.99}{130}\approx0.0538$ dollars/ounce
• Simply Orange: $\frac{3.84}{64}=0.06$ dollars/ounce
• Sunny D: $\frac{4.19}{96}\approx0.0436$ dollars/ounce

Identify the lowest value.

Answer:

1. D. 5:3
2. A. 2:5
3. C. 7:24
4. A. 1:3
5. D. 10:3
6. B. 9:20
7. 27.8 miles per gallon
8. D. Sunny D