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28 Aug 2023, 09:54
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
81% (02:20) correct
19%
(02:40)
wrong
based on 231
sessions
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Time
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Not Attempted Yet
If 35 skips are equal to 33 hops, and 66 jumps are equal to 81 skips, how many hops are in 140 jumps?
A) 136
B) 144
C) 150
D) 156
E) 162
A) 136
B) 144
C) 150
D) 156
E) 162
28 Aug 2023, 10:45
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This question can be solved either using conversion factors or ratios.
Method 1 (using conversion factors):
We can convert jumps into hops as following: 140 jumps x 81 skips/66 jumps x 33 hops/35 skips= 162 hops
Therefore, 140 jumps=162 hops.
Method 2 (using ratios):
The ratio of hops to skips is 35 to 33 and the ratio of skips to jumps is 66 to 81
Using the multiplier 4 in the first ratio, we get the ratio of hops to skips is 140 to 132
And using the multiplier 2 in the second ratio, we get the ratio of skips to jumps is 132 to 162
Therefore, the ratio of hops to jumps is 140 to 162.
Correct answer is E
Method 1 (using conversion factors):
We can convert jumps into hops as following: 140 jumps x 81 skips/66 jumps x 33 hops/35 skips= 162 hops
Therefore, 140 jumps=162 hops.
Method 2 (using ratios):
The ratio of hops to skips is 35 to 33 and the ratio of skips to jumps is 66 to 81
Using the multiplier 4 in the first ratio, we get the ratio of hops to skips is 140 to 132
And using the multiplier 2 in the second ratio, we get the ratio of skips to jumps is 132 to 162
Therefore, the ratio of hops to jumps is 140 to 162.
Correct answer is E
28 Aug 2023, 12:26
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GianKR
This question can be solved either using conversion factors or ratios.
Method 1 (using conversion factors):
We can convert jumps into hops as following: 140 jumps x 81 skips/66 jumps x 33 hops/35 skips= 162 hops
Therefore, 140 jumps=162 hops.
Method 2 (using ratios):
The ratio of hops to skips is 35 to 33 and the ratio of skips to jumps is 66 to 81
Using the multiplier 4 in the first ratio, we get the ratio of hops to skips is 140 to 132
And using the multiplier 2 in the second ratio, we get the ratio of skips to jumps is 132 to 162
Therefore, the ratio of hops to jumps is 140 to 162.
Correct answer is E
Method 1 (using conversion factors):
We can convert jumps into hops as following: 140 jumps x 81 skips/66 jumps x 33 hops/35 skips= 162 hops
Therefore, 140 jumps=162 hops.
Method 2 (using ratios):
The ratio of hops to skips is 35 to 33 and the ratio of skips to jumps is 66 to 81
Using the multiplier 4 in the first ratio, we get the ratio of hops to skips is 140 to 132
And using the multiplier 2 in the second ratio, we get the ratio of skips to jumps is 132 to 162
Therefore, the ratio of hops to jumps is 140 to 162.
Correct answer is E
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i couldn't understand both the solutions, can you please elaborate a little.
how did 140 jumps equal 162 hops
