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Solution
Let x be Adam’s age in 1980, and fill in the table below
Year Judy Adam
1980 3x x
1984 3x + 4 x + 4
Now translate: Judy’s age in 1984 was twice Adam’s age in 1984:
3x + 4 = 2(x + 4)
3x + 4 = 2x + 8 x + 4 = 8 x = 4.
Adam was 4 in 1980. However, 4 is not the answer to the question. Did you
remember to circle what you’re looking for? The question could have asked for
Adam’s age in 1980 (choice A) or 1984 (choice B) or Judy’s age I any year
whatsoever (choice C is 1980, and choice E is 1984); but it didn’t. It asked for
Adam’s age in 1990. Since he was 4 in 1980, then 10 years later, in 1990, he was
14 (D).
HELPFUL HINT
It is often very useful to organize the data from a word problem in a table

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Solution
The average of the measures of the five angles is the sum of their measures divided by 5. The sum is (5 – 2) × 180 = 3 × 180 = 540, so the average is 540 ÷ 5= 108.

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Solution
So far, Judy has earned 320 points. She can survive a low grade on test 5 if she get the maximum possible on both the sixth and seventh tests. Assume she get two 100’s. Then her total for tests 1, 2, 3, 4, 5, 6 and 7 will be 520. For her seventest average to be 85, she needs a total of 7 × 85 = 595 points. Therefore she needs at least 595 – 520 = 75 points. The correct answer is C.
ALTERNATE SOLUTION
Assume Judy’s first four tests were all 80’s. Then her total deviation below 85 would be 4 × 5 = 20. Her maximum possible deviation above 85 (assuming 100’s on tests 6 and 7) is 15 + 15 = 30. On test 5 she can deviate at most 10 more points below 85: 85 – 10 = 75.

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Solution
Since 4 boys can shovel the driveway in 2 hours, or 2 × 60 = 120 minutes, the job takes 4 × 120 = 480 boy-minutes. Therefore, 5 boys will needed 480 boys-minutes/5 boys = 96 minutes.

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Set up a proportion: x tablespoons/18 people= 3x teaspoons/18 people = xteaspoons/6people. But it is given that 1.5
teaspoons are needed for 4 people, so = 4x = 6(1.5) = 9 x = or 2.25.