SOLUTION: 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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Question 1051058: 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
Answer by ikleyn(52781) (Show Source):
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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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Solution 1. One equation in one unknown

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 = = 39. Answer. Tom sold 46 cups. Jared sold T + 7 = 39 + 7 = 46.

Solution 2. The system of two equations in two unknowns.

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 = = 46. You get the same answer.

Solved.