Ratios And Rates Worksheet - Chapter 3 Page 23
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38Example 2
Calculate equivalent rates using a ratio table
Allison’s favourite cereal comes in two sizes. The small box is 750 g and
costs $3.99. The giant box is 2.5 kg and costs $12.49. How much does
Allison save by buying the giant box?
Allison’s Solution
I converted 2.5 kg to grams since the mass of
2.5 kg = 2500 g
the other box was in grams.
I used a ratio table to figure out the cost of
the giant box at the small-box rate.
Grams
750
2500
I noticed that, if I divided 750 by 3 and then
Cost
$3.99
multiplied by 10, I would get the number of
grams for the big box.
x 10
÷ 3
Grams
750
250
2500
Cost
$3.99
$1.33
$13.30
So 2500 g would cost $13.30 at the
small-box rate.
I subtracted the cost for the giant box from
$13.30 - $12.49 = 81¢
what it would have cost at the small-box rate.
I save 81¢ by buying the giant box.
A
Checking
Write two equivalent rates for each case.
1.
One of your rates should be a unit rate.
a)
5 goals in 10 games
10 km jogged in 60 min
b)
10 penalties in 25 games
c)
On a hike, Peter walked 28 km in 7 h.
2.
What was his speed in kilometres per hour?
a)
How far would he walk in 2 h at that speed?
b)
124
Chapter 3
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