The ratio of football cards to baseball cards is 5:2 and the ratio of baseball cards to basketball cards is 5:1. 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 25:10 and the ratio of baseball cards to basketball cards as 10:2. So, the ratio of football cards to basketball cards is football:baseball, baseball:basketball or 25:10, 10:2 which reduces to 25:2.

An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.

Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:

vans = \( \frac{42}{12} \) = 3\(\frac{1}{2}\)

So, it will take 3 full vans and one partially full van to transport the entire team making a total of 4 vans.

By buying two shirts, Charlie will save $17 x \( \frac{25}{100} \) = \( \frac{$17 x 25}{100} \) = \( \frac{$425}{100} \) = $4.25 on the second shirt.

So, his total cost will be
$17.00 + ($17.00 - $4.25)
$17.00 + $12.75
$29.75

The distributive property for multiplication helps in solving expressions like a(b + c). It specifies that the result of multiplying one number by the sum or difference of two numbers can be obtained by multiplying each number individually and then totaling the results: a(b + c) = ab + ac. For example, 4(10-5) = (4 x 10) - (4 x 5) = 40 - 20 = 20.