SOLUTION: Each course at Mt. Regis College is worth either 3 or 4 credits. The members of the men's soccer team are taking a total of 48 courses that are worth a total of 155 credits. How ma

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Question 203444: Each course at Mt. Regis College is worth either 3 or 4 credits. The members of the men's soccer team are taking a total of 48 courses that are worth a total of 155 credits. How many 3-credit courses and how many 4-credit courses are being taken?
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
"a total of 48 courses" ___ t + f = 48 ___ 3t + 3f = 144

"worth a total of 155 credits" ___ 3t + 4f = 155

subtracting equations ___ f = 11

substituting ___ t + 11 = 48 ___ t = 37