Question 1051058
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together Tom and Jared sell 85 cups of hot chocolate at the football game. Jared sells 7 more cups than Tom. How many do they each sell?  

Can you show work
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<U>Solution 1</U>. One equation in one unknown


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Let T = the number of cups Tom sold.
Then the number of cups Jared sold was (85-T).

The condition says that

(85-T) = T + 7.

Simplify and solve:

85 - T = T + 7  --->  85 - 7 = 2T  --->  2T = 78  --->  T = {{{78/2}}} = 39.

<U>Answer</U>.  Tom sold 46 cups.  Jared sold  T + 7 = 39 + 7 = 46.
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<U>Solution 2</U>. The system of two equations in two unknowns.


<pre>
Let T = the number of cups Tom sold,
    J = the number of cups Jared sold.

The condition says

J + T = 85,    (1)
J - T =  7.    (2)

Add equations (1) and (2). You will get 

2J = 85 + 7  --->  2J = 92  --->  J = {{{92/2}}} = 46.

You get the same answer.
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Solved.