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 By: Strawberry (offline)  Sunday, February 05 2012 @ 08:42 PM CST (Read 1311 times)
Strawberry

The ratio of number of muffins to the number of pies in a bakery was 4:1. After another 63 muffins and 46 pies were baked, the ratio became 3:1. How many muffins and pies were there in the bakery at first?

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Registered: 01/31/09
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 By: josephine_ng (offline)  Sunday, February 05 2012 @ 11:34 PM CST
josephine_ng

300 muffins and 75 pies

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 By: awyw1201 (offline)  Monday, February 06 2012 @ 12:40 AM CST
awyw1201

Quote by: Strawberry

The ratio of number of muffins to the number of pies in a bakery was 4:1. After another 63 muffins and 46 pies were baked, the ratio became 3:1. How many muffins and pies were there in the bakery at first?

Use units and parts,

Ratio at 1st---4u:1u
Ratio after---3p:1p

4u +63 = 3p----(1)
1u + 46 = 1p---(2)

(2) x 3---- 3u + 138 = 3p---(3)

Compare (1) and (3), we have
4u + 63 = 3u + 138
1u = 138 -63 =75 (pies)
4u = 75 x 4 =300 (muffins)

Ans: 300 muffins and 75 pies

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Registered: 07/08/11
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 By: Strawberry (offline)  Monday, February 06 2012 @ 05:32 AM CST
Strawberry

Thank you... finally, I understand why

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Registered: 01/31/09
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 By: awyw1201 (offline)  Monday, February 06 2012 @ 10:14 AM CST
awyw1201

Great! Happy for u:-)

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Registered: 07/08/11
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