| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.20 |
| Score | 0% | 64% |
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 30% off." If Roger buys two shirts, each with a regular price of $42, how much will he pay for both shirts?
| $54.60 | |
| $71.40 | |
| $50.40 | |
| $58.80 |
By buying two shirts, Roger will save $42 x \( \frac{30}{100} \) = \( \frac{$42 x 30}{100} \) = \( \frac{$1260}{100} \) = $12.60 on the second shirt.
So, his total cost will be
$42.00 + ($42.00 - $12.60)
$42.00 + $29.40
$71.40
The __________ is the greatest factor that divides two integers.
greatest common factor |
|
greatest common multiple |
|
least common multiple |
|
absolute value |
The greatest common factor (GCF) is the greatest factor that divides two integers.
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 25% off." If Alex buys two shirts, each with a regular price of $48, how much money will he save?
| $19.20 | |
| $16.80 | |
| $21.60 | |
| $12.00 |
By buying two shirts, Alex will save $48 x \( \frac{25}{100} \) = \( \frac{$48 x 25}{100} \) = \( \frac{$1200}{100} \) = $12.00 on the second shirt.
A sports card collection contains football, baseball, and basketball cards. If the ratio of football to baseball cards is 7 to 2 and the ratio of baseball to basketball cards is 7 to 1, what is the ratio of football to basketball cards?
| 1:6 | |
| 49:2 | |
| 1:2 | |
| 3:8 |
The ratio of football cards to baseball cards is 7:2 and the ratio of baseball cards to basketball cards is 7:1. To solve this problem, we need the baseball card side of each ratio to be equal so we need to rewrite the ratios in terms of a common number of baseball cards. (Think of this like finding the common denominator when adding fractions.) The ratio of football to baseball cards can also be written as 49:14 and the ratio of baseball cards to basketball cards as 14:2. So, the ratio of football cards to basketball cards is football:baseball, baseball:basketball or 49:14, 14:2 which reduces to 49:2.
What is the least common multiple of 4 and 8?
| 17 | |
| 5 | |
| 8 | |
| 15 |
The first few multiples of 4 are [4, 8, 12, 16, 20, 24, 28, 32, 36, 40] and the first few multiples of 8 are [8, 16, 24, 32, 40, 48, 56, 64, 72, 80]. The first few multiples they share are [8, 16, 24, 32, 40] making 8 the smallest multiple 4 and 8 have in common.