Problema Solution

For a kindergarten party Mrs. Tully bought 4 more bags of jelly beans selling at 35 cents a bag than of lemon drops selling at 45 cents a bag. She spent $3 for the candy. How many bags of jelly beans did she buy?

Answer provided by our tutors

let


b = the number of bags of jelly beans bought

d = the number of bags of lemon drops bought


Mrs. Tully bought 4 more bags of jelly beans selling at 35 cents a bag than of lemon drops selling at 45 cents a bag


b = d + 4


she spent $3 for the candy or in cents that is 300 cents


the money spent on jelly beans + the money spent on lemon drops = the total money spent that is 300 cents


35b + 45d = 300 divide both sides by 5


7b + 9d = 60


by solving the system of equations


b = d + 4

7b + 9d = 60


we find


b = 6 bags


d = 2 bags


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Mrs. Tully bought 6 bags of jelly beans.