# SOLUTION: It took 30 minutes to give out 75 diplomas last year. How long with it take to give out 90?

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 Click here to see ALL problems on Percentage-and-ratio-word-problems Question 303497: It took 30 minutes to give out 75 diplomas last year. How long with it take to give out 90?Found 2 solutions by jim_thompson5910, julieg94:Answer by jim_thompson5910(28504)   (Show Source): You can put this solution on YOUR website!Hint: Solve the equation (note: the numerators are minutes while the denominators are number of diplomas) to find the value of 'x' which is the number of minutes it will take to hand out 90 diplomas. Answer by julieg94(1)   (Show Source): You can put this solution on YOUR website!30/75=x/90 Find the least common denominator and multiply each side by it. In this case it would be 450. So it turns out to be 450/1*30/75. Cross out the similarities and it becomes 6/1*30/1. Then multiply the other side by 450. x/90*450/1. Cross out the similarities and it becomes x/1*5/1. Over all you get 180/1=5x/1 which is the same thing as 180=5x. Divide 180 by five to get the variable by itself and the answer is x=36.