SOLUTION: A company manufactures two types of cookies, T and U. Each of unit of T requires 3 cups of sugar and each unit of U requires 5 cups of sugar. Daily manufacturing limit of sugar is

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A company manufactures two types of cookies, T and U. Each of unit of T requires 3 cups of sugar and each unit of U requires 5 cups of sugar. Daily manufacturing limit of sugar is       Log On


   

Question 1178289: A company manufactures two types of cookies, T and U. Each of unit of T requires 3 cups of sugar and each unit of U requires 5 cups of sugar. Daily manufacturing limit of sugar is 150 cups.
a)If x units of cookie T and y units of cookie U are manufactured each day and all cups of sugar are to be used, determine the linear equation that requires the use of 150 cups of sugar per day.
b)How many units of T can be made each day if 25 units of U are manufactured each day?
c)How many units of T can be made each week 16 units of U are manufactured each day?
Answer by ikleyn(53937) About Me  (Show Source):
You can put this solution on YOUR website!
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(a)  3T + 5U = 150  cups of sugar.      Your equation



(b)  units of T = %28150-5%2A25%29%2F3 = %28150-125%29%2F3 = 25%2F3 = 8 1%2F3.    

     Next, you round the number  8 1%2F3  to the nearest smaller integer, which is 8, and obtain the ANSWER



(c)  units of T = %28150-5%2A16%29%2F3 = %28150-80%29%2F3 = 70%2F3 = 23 1%2F3.    

     Next, you round the number  23 1%2F3  to the nearest smaller integer, which is 23, and obtain the ANSWER

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