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:

payment just for service  

→

$

87.12

payment for service including tax

→

$

94.09

explanation:

service only with 20% tip  

→

$

72.6

(

1

+

20

100

)

=

$

87.12

in the opening of the question the word 'service' is associated only with the pretax value.

the closing part of the question asks: how much did she pay for the  

service

−−−−−−  

so technically the answer is  

→

$

72.6

(

1

+

20

100

)

=

$

87.12

however, the intention of the question provider may have been that your answer is to be  

$

87.12

(

1

+

8

100

)

=

$

94.09

to 2 decimal places.

'

payment just for service  

→

$

87.12

payment for service including tax

→

$

94.09

tony b

mar 21, 2017

answer:

trying to explain it another way

explanation:

service charge  

.

→

$

72.60

20% tip  

20

100

×

$

72.60

=

$

14.52

−−−−−−  

←

add

$

87.12

tax  

8

100

×

$

87.12

=

$

6.97

−−−−−  

←

add

$

94.09

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