SOLUTION: Once a month I buy a total of 62 donuts. This includes a mix of munchkins and regular donuts munchkins are $0.25 and the regular donuts are $1.00 If last month I spent $24.50

Algebra ->  Probability-and-statistics -> SOLUTION: Once a month I buy a total of 62 donuts. This includes a mix of munchkins and regular donuts munchkins are $0.25 and the regular donuts are $1.00 If last month I spent $24.50      Log On


   



Question 835215: Once a month I buy a total of 62 donuts. This includes a mix of munchkins and regular donuts
munchkins are $0.25 and the regular donuts are $1.00
If last month I spent $24.50 on donuts , how many munchkins and regular donuts did i buy?

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = number of munchkins bought each month
Let +b+ = number of regular donuts bought each month
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(1) +a+%2B+b+=+62+
(2) +25a+%2B+100b+=+2450+
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Multiply both sides of (1) by +25+
and subtract (1) from (2)
(2) +25a+%2B+100b+=+2450+
(1) +-25a+-+25b+=+-1550+
+75b+=+900+
+b+=+12+
and, since
(1) +a+%2B+b+=+62+
(1) +a+=+62+-+12+
(1) +a+=+50+
You bought 50 munchkins
You bought 12 regular donuts