Equivalent Ratios
Scale up by 5
3:5
15:25
Draw a tape diagram for the ratio
3:6
pictures
Convert to a unit rate
4:20
1:5
36 in = _________ ft
3
1/3(1/8)
1/24
Scale down by 12
60:132
5:11
Danny and Ben are playing card games. The ratio of games that Ben won to the games that Danny won is 8:3. If Ben won 16 games, how many did Danny win?
6
Your momma likes riding her motorcycle. On Saturday she drove at a steady pace for 3 hours. The total distance that she drove was 252 miles. What was her rate of speed?
84
480 seconds = ___________ minutes
8
Write an inequality
The distance Hunter drove was no more than 65 miles.
x less than or equal to 65
What is the ratio of x's to total shapes?
x x x o o x x o x x
6:10
Mr. Dwyer and Mr. Robinson are working together to take pictures for the school yearbook. Mr. Dwyer loves taking pictures, so the ratio of the number of pictures he took to the number of pictures Mr. Robinson took was 6:2. Together they took 96 pictures. How many pictures did each person take?
72 and 24
convert to a unit rate
15:180
1:12
3.8 m = ______________ mm
3800
Angelique had some money in her bank account. She got paid $98.25. She had $450.77 total in her account after she got paid. Write and solve an equation to show how much Angelique had in her account before she got paid.
x + 98.25 = 450.77 or 450.77 - 98.25 = x
x = 352.52
Make an equivalent ratio
9:81 = 54:_______
In the month of January there were a total of 105 birthdays at our school. The ratio between the number of boys who had birthdays to the number of girls who had birthdays in January was 3:2. How many boys had a birthday in January?
63
Pork roast is on sale at both Tom’s Groceries and Kent’s Groceries. At Tom’s a 6 lb. pork roast costs 14.04. At Kent’s an 8lb. pork roast costs $19.76. Which store offers the better deal on pork roasts? How much of a better deal? Show your work.
2.34 2.47
6 pound is better by .13
78,502 g = _____________ kg
78.502
Sabrina Carpenter plays soccer on her comp team every 8th day and plays on another team with her friends every 6 days. She played with both teams today. How many days from now will she play with both teams again?
24 days
Are these ratios equivalent?
13:39 and 15:45
Yes they are. 1:3
Lester's daughter Julee likes to collect stamps. She collects both big and small stamps for her collection. When Erin sorted through Julees stamp book, she discovered that for every six big stamps Julee owned, she had two small stamps. If there were 124 more big stamps than small stamps, how many total stamps does Julee have?
248
Katrina is traveling to Las Vegas Nevada. She travels at a constant rate of 65 miles per hour on the freeway. Her combined driving time for the trip was 14 hours. How many miles did she travel?
910
128 g = _____________ pints
1024
Factor using the GCF
70h2 + 75h3
5h2(14+15h)