Ratios
Scale and Conversions
Proportions
Percent Problems
Percent of Change
100
Express the ratio in simplest form.

15 cats : 50 dogs
3 cats : 10 dogs
100
1 inch on a map of Falmouth is equal to 900 feet.
If the distance between Lawrence School and the Red Lemon is 6.4 inches, how far is the distance in the real world?
It is 5,760 feet from Lawrence School to Dairy Queen.
100
Determine whether the two ratios form a proportion.
67 , 3649
No, they do not form a proportion because the cross products are not equal.
100
25% of what is 28?
112
100
Find the percent increase/decrease.
Original: 15
New: 4.5
70% decrease
200
Express the ratio in simplest form.

21 hired to 105 applicants
1 hired to 5 applicants
200
Convert 415 centimeters to meters.
1 m = 100 cm
415 centimeters would be equal to 4.15 meters.
200
Determine whether the two ratios form a proportion.
915 , 55.893
Yes, they do form a proportion because the cross products both equal 837.
200
What percent of 90 is 63?
70%
200
Find the percent increase/decrease:
Original: $840
New: $3356
(Round to the near percent)
300% increase
300
Express the ratio in simplest form.

1 foot : 1 yard
1 foot : 3 feet
300
Mr. Heller has a mini-skeleton whose femur bones is 4 inches. The average adult femur bone is 19 inches.
What is the scale of the mini-skeleton?
The scale is 1 inch = 4.75 inches.
300
Solve the proportion.
59 = 6x
x = 10.8
300
What is 38% of 60?
22.8
300
A video game costs a store $20. If the store sells the game for $33, what is the percent of markup?
65% markup
400
Express the ratio in simplest form.

50 centimeters to 1 meter
1 cm to 2 cm
400
Which is the better buy?

An 8 oz. bottle of shampoo for $5.97 or a 12 oz. bottle for $9.25?
The 8 oz. bottle is cheaper per ounce ($.75/oz.) and therefore a better buy.
400
Gronk is mixing a magical potion to heal his ankle. The directions say to mix 5 cups of water with 2 scoops of powdered potion mix.
How many cups of water should he use with 9 scoops of potion mix?
22.5 cups of water
400
Paul has a goal to lose 25 lb. He has lost 16 lb.What percent of his goal has he reached?
He has reached 64% of his goal.
400
Decrease 450 by 45%.
247.5
500
Express the ratio in simplest form.

18 hours to 3 weeks
1 hours to 28 hours
500
Convert 164,736 inches to miles.
(1 mile = 5,280 feet)
164,736 inches would be equal to 2.6 miles.
500
Solve.
3x+6 = 1512x+2
x = 4
500
Suppose that 62.5% of freshmen entering a college graduate from it. If there are 2680 freshmen, how many will graduate from that college?
1,675 freshmen will graduate from that college.
500
A store sells slap bracelets for $11 each. This week they're offering a discount of 12%. However, you still have to pay sales tax of 6.25% on the discounted price.
What is the final price for the slap bracelet after discount and sales tax?
The slap bracelet will cost $10.29 after the discount and sales tax.
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