Together, tom and max have 72 football cards, tom has 2 more than 4 times as many cards as max has, how many football cards does tom have?

58

Step-by-step explanation:

Let t and m represent the numbers of cards had by Tom and Max, respectively. Then the problem statement tells us ...

We want to solve for t. If we multiply the first equation by 4 and subtract the second, we get ...

... 4(t +m) -(4m +2) = 4(72) -(t)

... 4t +4m -4m -2 = 288 -t . . . . . . . eliminate parentheses

... 5t = 290 . . . . . . . . . . . . . . . . . . . add t+2, collect terms

... t = 58 . . . . . . . . divide by the coefficient of t

Alternate Solution

You can work this in your head if you realize that subtacting 2 from the total means that Max has 1/5 of the new amount. 1/5 of 70 is 14, so Tom has 72 - 14 = 58 cards.

answer set (b) 0.5, 3/4 80% is in order from least to greatest.  

step-by-step explanation:

in order to compare rational numbers to each other, it is much easier if they are in the same form.   typically, the best form in which to evaluate rational numbers is in decimals.   in order to convert a percent to a decimal, you would divide the given percentage by 100.   you can also accomplish the conversion by moving the decimal point over two places to the left.   for example, the decimal value of 80% is 80/100, or 0.8.   in order to convert a fraction to a decimal, you need to divide the numerator by the denominator.   for example, 3/4 is 0.75.   so, for choice (b) 0.5 3/4 (0.75), 80% (0.8) is the only choice in which the numbers are in order from least to greatest.  

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step-by-step explanation: