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Question

lee eng baked chocolate cookies and macadamia cookies in the ratio 3 : 2. She gave away 132 chocolate cookies and 92 macadamia cookies. After that, the ratio of chocolate cookies to macadamia cookies was 2 : 1.

(a) How many cookies did she have altogether in the end?

(b) The remaining cookies were sold in packets of 4 for $1 or $0.50 each. She earned $11 from the sales. How many cookies were sold at $0.50 each?

 

Answer

BigDevil, thank you for yr quick reply 😀 

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You are welcome!  🙂

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This is a Before After question. 

We shall first tabulate the information. 

   Chocolate   Macadamia  Total   
 Before 3u  2u  5u   
 After 3u – 132   2u – 92 5u – 224   

The last ratio is 2: 1.

(3u -132) / 2  = (2u – 92) / 1

3u – 132 = 4u – 184

184 – 132 = 4u – 3u

1u = 52

(a)   5u = 5 × 52 = 260

         260 – 224 = 36

(b)  

(1u x 0.5) + (36 – 1u) × 0.25 =  11

0.5u + 9 – 0.25u = 11

0.25u = 2

1u = 2 ÷ 0.25 = 8

 

 

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BigDevil, thank you for yr quick reply 😀 

1 Reply 0 Likes ✔Accepted Answer

You are welcome!  🙂

0 Replies 0 Likes