Question

Alicia is making apple pies. She uses 1 1/2 cups of sugar for every 2 3/ 4 pies. She has 5 1 /4 cups of sugar left in her bag. How many pies can she make? A. 3 1 /2 pies B. 4 1/ 8 pies C. 6 3 /4 pies D. 9 5 /8 pies

Answer 1

d. 9 5/8

Explanation:

First, let see how many cups of sugar we need for one pie:

1 1/2 cups of sugar for 2 3/4 pies.. so

1 1/2 = 2/2+1/2= 3/2 cups of sugar

2 3/4 pies are = 8/4+3/4 =11/4 of pies

Then (3/2)COS / 11/4 Pies =(3*4)/(2*11) = 12/22 = 6/11 cups of sugar/pie

Now if she has 5 1/4 cups, that means she has 20/4+1/4 = 21/4 COS

So she can do : (21/4) COS/(6/11) COS/pie =(21*11)/(6*4) pie = 231/24 Pies

231/24 pies = (216/24 +15/24) pies = 9 15/24 pies = 9 5/8 pies