Unit Rate
If Kaylin drives 53 miles in 2 hours, what is her rate (speed per hour).
Rate is the amount of miles in 1 hour
miles/hours =
26.5 miles per hour
53 mi / 2 hr. = 26.5 miles per hour
Which one is the better buy? Find the unit rate of each.
3 apple pies for $11
7 apple pies for $24
***Find the Unit Rate for each (price for 1)
Cost / Number = Unit Rate (price for 1)
***The one with the LOWEST price is the answer
7 Apple pies
3 Apple pies Unit Rate $11 / 3 = $3.67
7 Apple pies Uni Rate $24 / 7 = $3.43
Determine if each pair of ratios or rates is equivalent. $3 for 6 bagels; $9 for 24 bagels
Find the UNIT rate for each and compare.
No; since the unit rates $0.50/1 bagel and $0.38/1 bagel, are not the same, the rates are not equivalent.
***Money always goes on TOP of each ratio
$3/6 =$0.50
$9/24 =$0.38
Solve for a.
a/40 = 3/10
****Use the Butterfly method
a = 12
120 120/10 = 12
Macy bought a package of three T-shirts for $18.75. What is the price per T-shirt?
per means "1" so you need to find the Unit Rate
money/number =
$6.25
$18.75 / 3 = $6.25 for one T-shirt
Which one is the better buy? Find the unit rate of each.
5 cans of coke for $3
6 cans of coke for $3.80
***Find the Unit Rate for each (price for 1)
Cost / Number = Unit Rate (price for 1)
***The one with the LOWEST price is the answer
5 cans of coke is the better buy
5 cans of coke $3/5 = $0.60 each can
6 cans of coke $3.80/6 = $0.63 each can
Determine if each pair of ratios or rates is equivalent. 96 words typed in 3 minutes; 160 words typed in 5 minutes.
Find the UNIT rate for each and compare.
Yes; since the unit rates are the same, 32 words/1 minute, the rates are equivalent.
96 w / 3 m = 32 words in 1 minute
160 w/ 5 m = 32 words in 1 minute
Solve for c.
6/11 = c/77
***Use the butterfly method
c = 42
462 462/11 = 42
If 12 bags of hot Cheetos cost $7.80, then how much does 1 bag cost?
"1" means to find the Unit Rate
money/number =
$0.65 per bag
$7.80 / 12 = $0.65 for 1 bag
Which one is the better buy? Find the unit rate of each.
28 stickers for $15
40 stickers for $20
***Find the Unit Rate for each (price for 1)
$Cost / Number = Unit Rate (price for 1)
***The one with the LOWEST price is the answer
40 stickers
28 stickers $15/28 =$0.54 for 1 sticker
40 stickers $20/40 = $0.50 for 1 sticker
Determine if each pair of ratios or rates is equivalent. 288 miles on 12 gallons of fuel; 240 miles on 10 gallons of fuel.
Find the UNIT rate for each and compare.
Yes; since the ratios share the same unit rate, the number of miles driven and the number of gallons of fuel form equivalent ratios.
288 mi / 12 gal = 24 miles on 1 gallon of fuel
240 mi / 10 gal = 24 miles on 1 gallon of fuel
Solve for k.
15/12 = 90/k
***Use the butterfly method
k = 72
1080 1080/15 = 72
Lily bought a 5-kilogram can of peanuts for $4.50. What is the unit price?
Unit Price means the price for ONE
money/number =
$0.90
$4.50 / 5 = $0.90 for 1 kg
Which one is the better buy? Find the unit rate of each.
3 months subscription for $20
12 month subscription for $80
***Find the Unit Rate for each (price for 1)
$Cost / Number = Unit Rate (price for 1)
***The one with the LOWEST price is the answer
They are equal
3 months $20/3 =$6.67
12 months $80/12 =$$6.67
Determine if each pair of ratios or rates is equivalent. 16 out of 28 students own pets; 240 out of 560 students own pets
Find the UNIT rate for each and compare.
No the ratios are not equivalent.
16/28 = 0.57
240/560 = 0.43
Solve for k.
k/6 = 8/16
***Use the butterfly method
k = 3
48 48/16 = 3
Noah bought a box of 23 pretzel rods for $10.81. What is the price per pretzel rod?
Unit Price means the price for ONE
Cost / Number = price for ONE
$0.47
$10.81 / 23 = $0.47 for 1 pretzel rod
Which one is the better buy?
Find the unit rate of each.
5 Pair of pants for $97.50
3 Pair of Pants for $58.80
***Find the Unit Rate for each (price for 1)
Cost / Number = Unit Rate (price for 1)
***The one with the LOWEST price is the answer
5 Pair $97.50 /5 = $19.50 each
3 Pair $58.80 / 3 = $19.60 each
5 pair is the Better Buy
Determine if each pair of ratios or rates is equivalent. 8 pairs of socks for $12; 3 pairs of socks for $6
Find the UNIT rate for each and compare.
No the ratios are not equivalent.
MONEY always goes on top of your ratio.
$12/8 =$1.50 for 1 pair of socks
$6/3 = $2.00 for 1 pair of socks
Solve for h.
5.4/7 = 27/h
***Use the butterfly method
h = 35
189 189/5.4=35