Proportional Reasoning
What is a proportion? Give an example.
A proportion is an equation that states two ratios are equal. Example: 2/3 or 4/6
Convert 3/8 to a decimal
0.375
A $75 jacket is on sale for 15% off. How much will you save?
$11.25
You can buy a 12-pack of soda for $6 or an 18-pack for $8. Which option is cheaper per can?
18-pack for $8
A bag of 12 apples costs $3.60. If you only want to buy 6 apples, how much will they cost?
$1.80
If 3 apples cost $1.50, how much do 9 apples cost?
$4.50
Convert 1.25 to a percent
125%
If a $120 item has a 20% discount, what is the price after the discount?
$96
You can buy 5 pounds of rice for $9 or 8 pounds of rice for $13. Which is the better deal per pound?
8 pounds for $13
A $150 jacket is on sale for 30% off. After the discount, a 5% tax is applied. What is the final price?
$110.25
A car travels 150 miles on 5 gallons of gas. What is the rate of miles per gallon?
30 miles per gallon
You have 5/8 of a cake left. What percent of the cake is this?
62.5%
A restaurant bill is $85, and you want to leave an 18% tip. What is the total amount you’ll pay?
$100.30
A 10-ounce bottle of juice costs $2.50, and a 16-ounce bottle costs $3.75. Which is the better price per ounce?
16-ounce bottle for $3.75
A pack of 8 cans of soda costs $4.80, while a 12-pack costs $6. Which option is a better deal per can, and what percent savings do you get by choosing the better deal?
The 12-pack is better, with a savings of 20%.
If a recipe calls for 2 cups of flour for every 3 cups of sugar, how many cups of flour are needed for 9 cups of sugar?
6 cups of flour
If 40% of a class of 30 students are absent, how many students are present?
18 students
If an item costs $200 and you have a coupon for 10% off, with an additional 5% sales tax applied after the discount, what is the final price?
$189
A store offers a 6-pack of socks for $12 and a 10-pack for $18. Which option has the better price per pair?
10-pack for $18
A recipe calls for 2 cups of sugar for every 3 cups of flour. If you have 18 cups of flour, how many cups of sugar will you need?
12 cups
If the ratio of cats to dogs is 4:5 and there are 20 dogs, how many cats are there?
16 cats
Convert the fraction 7/9 to a percent (round to two decimal places).
77.78%
A pair of shoes costs $150. With a 25% discount and 8% sales tax applied after the discount, what is the final cost?
$121.50
A bulk store offers two deals for a 20-lb bag of flour: Buy one bag for $15 or buy three bags for $40. Which option is cheaper per pound?
Three bags for $40
You buy a $200 item on sale for 25% off and pay a 7% tax on the discounted price. Separately, another store offers the same item at 30% off with 10% tax. Which option has the lower final price?
The first option, with a final price of $160.50.