Ratios And Rates Worksheet - Chapter 3 Page 6
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38Write equivalent ratios you can use to determine how much
E.
proportion
grape juice is needed in each case.
a number sentence that
You use 2 cups of cranberry juice.
•
shows two equivalent
You use 6 cups of cranberry juice.
•
ratios or fractions;
for example,
How much water and grape juice should Nikita use?
F.
1
2
1: 2
2 : 4 or
2
4
Reflecting
How are the three ratios in parts A, B, and C related?
G.
How is creating an equivalent ratio like creating an equivalent
H.
fraction?
WORK WITH
the Math
Example 1
Representing situations with ratios
Compare the lengths of the blister beetle and the hydraena beetle to the length
of the giant stag beetle using ratios.
blister beetle
hydraena beetle
giant stag beetle
2 cm
2 mm
3 cm
Brian’s Solution
I think the ratios should be different since the beetles are
such different sizes.
blister beetle and giant stag beetle:
1
The ratio 2 : 3 makes sense since the stag beetle is 1
2 cm : 3 cm
2
1
The ratio is 2 : 3.
times as long as the blister beetle, just like 3 is 1
times 2.
2
I renamed 3 cm as 30 mm. That way, I was comparing
hydraena and giant stag :
2 mm to 30 mm.
3 cm = 30 mm
That seems right, since 30
15
2 and the stag beetle
2 mm : 30 mm
looks like it is 15 times as long as the hydraena beetle.
The ratio is 2 : 30.
107
Ratios and Rates
NEL
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