| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.89 |
| Score | 0% | 58% |
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 20% off." If Frank buys two shirts, each with a regular price of $28, how much money will he save?
| $5.60 | |
| $4.20 | |
| $14.00 | |
| $11.20 |
By buying two shirts, Frank will save $28 x \( \frac{20}{100} \) = \( \frac{$28 x 20}{100} \) = \( \frac{$560}{100} \) = $5.60 on the second shirt.
What is \( \frac{7}{2} \) + \( \frac{9}{6} \)?
| 5 | |
| 1 \( \frac{8}{15} \) | |
| 2 \( \frac{1}{6} \) | |
| 1 \( \frac{4}{6} \) |
To add these fractions, first find the lowest common multiple of their denominators. The first few multiples of 2 are [2, 4, 6, 8, 10, 12, 14, 16, 18, 20] and the first few multiples of 6 are [6, 12, 18, 24, 30, 36, 42, 48, 54, 60]. The first few multiples they share are [6, 12, 18, 24, 30] making 6 the smallest multiple 2 and 6 share.
Next, convert the fractions so each denominator equals the lowest common multiple:
\( \frac{7 x 3}{2 x 3} \) + \( \frac{9 x 1}{6 x 1} \)
\( \frac{21}{6} \) + \( \frac{9}{6} \)
Now, because the fractions share a common denominator, you can add them:
\( \frac{21 + 9}{6} \) = \( \frac{30}{6} \) = 5
If a mayor is elected with 78% of the votes cast and 81% of a town's 24,000 voters cast a vote, how many votes did the mayor receive?
| 17,107 | |
| 15,163 | |
| 10,886 | |
| 12,053 |
If 81% of the town's 24,000 voters cast ballots the number of votes cast is:
(\( \frac{81}{100} \)) x 24,000 = \( \frac{1,944,000}{100} \) = 19,440
The mayor got 78% of the votes cast which is:
(\( \frac{78}{100} \)) x 19,440 = \( \frac{1,516,320}{100} \) = 15,163 votes.
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 40% off." If Frank buys two shirts, each with a regular price of $35, how much will he pay for both shirts?
| $21.00 | |
| $56.00 | |
| $49.00 | |
| $50.75 |
By buying two shirts, Frank will save $35 x \( \frac{40}{100} \) = \( \frac{$35 x 40}{100} \) = \( \frac{$1400}{100} \) = $14.00 on the second shirt.
So, his total cost will be
$35.00 + ($35.00 - $14.00)
$35.00 + $21.00
$56.00
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