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Lesson: Applied Arithmetic - 08t01

In-Format Ratio Problems

[Page 8 of 36]
Task Now try some in-format problems. Click on the correct response and then click Continue.

Three lottery winners decide to split a cash prize in the ratio 1 : 2 : 3. If the cash prize is $12,000, what is the greatest amount earned by one of the three winners?

$1,000
$2,000
$3,000
$4,000
$6,000

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The textbook approach is to come up with the ratio total by adding together the ratio parts: 1 + 2 + 3 = 6, so the ratio for the biggest winner is the entire prize of $12,000, so he or she would earn .

You could also try out the answer choices, starting with the number in the middle.

The greatest amount earned by one of the three winners is $3,000, and the ratio of winnings is 1 : 2 : 3, so the money would be divided $1,000 : $2,000 : $3,000, for a total prize of $6,000. This is half the actual amount of $12,000, so it looks like $6,000 is the answer:

Let's prove it:
1 : 2 : 3 = $2,000 : $4,000 : $6,000, for a total of $12,000, which works.

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