SOLUTION: During one evening Kathleen devoted 2/5 of her study time to mathematics, 3/20 of her study time to Spanish, 1/3 of her study time to biology, and the remaining 35 minutes to Engli

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Question 529665: During one evening Kathleen devoted 2/5 of her study time to mathematics, 3/20 of her study time to Spanish, 1/3 of her study time to biology, and the remaining 35 minutes to English. How much time did she spend studying Spanish?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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During one evening Kathleen devoted 2/5 of her study time to mathematics, 3/20 of her study time to Spanish, 1/3 of her study time to biology, and the remaining 35 minutes to English.
:
Let x = the total time spent studying (in minutes)
:
x - 2%2F5x - 3%2F20x - 1%2F3x = 35
Multiply by 60 to clear the denominators, results:
60x - 12(2)x - 3(3)x - 20x = 60(35)
60x - 24x - 9x - 20x = 2100
7x = 2100
x = 2100/7
x = 300 minutes total studying
:
"How much time did she spend studying Spanish?"
3%2F20(300) = 45 min