Equivalent Ratios
A recipe calls for 2 cups of sugar for every 3 cups of flour. If you use 6 cups of sugar, how many cups of flour do you need?
9 cups of flour ($2:3 = 6:9$)
A runner completes 12 miles in 2 hours. What is their unit rate in miles per hour?
6 miles per hour 12/2 = 6
Solve for x/6=5/2
x = 15 (2x = 30)
What number is $25% of 80$?
20
Write the ratio of 8 circles to 12 squares in simplest form using a colon
2:3
Express the ratio of 15 boys to 20 girls in simplest form.
3:4 (or 3/4)
A bakery sells 4 boxes of donuts for $24. What is the unit price per box?
$6.00 per box 24/4 = 6
Solve for 4/9 =12/y
y = 27(4y = 108)
18 is what percent of 20?
90%
Express the ratio of 15 boys to 25 girls as a fraction in simplest form.
3/5
True or False: The ratios $4:10$ and $10:25$ are equivalent.
True (Both simplify to $2:5$)
Brand X sells 5 pairs of socks for $12.50. Brand Y sells 8 pairs of socks for $19.20. Which brand is cheaper per pair of socks?
Brand Y (Brand Y is $2.40/pair vs Brand X at $2.50/pair)
Solve for -3/8 = n/24
n = -9 (8n = -72)
What percent of 200 is 45?
22.5%
Write the ratio of 20 minutes to 1 hour in simplest form. (Hint: Convert to the same units first!)
1:3 (20 minutes to 60 minutes)
Which ratio is NOT equivalent to $3:7$?
A) $9:21$
B) $12:28$
C) $15:30$
D) $30:70$
C) 15:30 (Simplifies to $1:2$, not $3:7$)
Maya typed 240 words in 4 minutes. Alex typed 360 words in 5 minutes. Who types faster, and by how many words per minute?
Alex is faster by 12 words per minute (Alex: 72 wpm, Maya: 60 wpm)
Solve for b 1.5/4.5 = b/12
b = 4 (4.5b = 18)
40 is 80% of what number?
50
True or False: The order of numbers in a ratio does not matter ($3:5$ is the same as $5:3$).
False (Order matters depending on the comparison being made)
In a local library, the ratio of fiction to non-fiction books is $5:2$. If there are 350 fiction books, how many total books (fiction and non-fiction combined) are in the library?
490 total books (140 non-fiction books + 350 fiction books)
A car uses 5 gallons of gas to travel 135 miles. How far can it travel on a full tank of 12 gallons at the same rate?
324 miles (27 miles per gallon)
Solve for x + 3/4 = 5/2
x = 7 2(x + 3) = 20
75 is 125% of what number?
60
A pet shelter has 18 dogs and 12 cats. What is the part-to-part ratio of cats to dogs in simplest form?
2:3