Josephine had a total of 540 Singapore and Malaysian stamps in the ratio 11:7. After she had given away an equal number of each type of stamps, the number of Singapore and Malaysia stamps left was in the ratio 7:1. How many Singapore stamps did she give away?

MaiaMitchell
Oct 3, 2015

#1**+5 **

Josephine had a total of 540 Singapore and Malaysian stamps in the ratio 11:7. After she had given away an equal number of each type of stamps, the number of Singapore and Malaysia stamps left was in the ratio 7:1. How many Singapore stamps did she give away?

If you are up for it Maia I will work with you to solve this.

**Please other people do not jump in and give Maia the answer to this.**

She has told me that she want to learn and not just copy so this is a bit of a test. (You can answer her other questions if you want to although it would be good if you so not give her the whole answer all at once.)

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Lets look at the first sentence.

Josephine had a total of 540 Singapore and Malaysian stamps in the ratio 11:7

This means that Josephine could seperate her Singapore and Malaysian stamps into two sperate piles. She could then split her Singapore stamps into 11 separate piles and she could split her Malaysian stamps into 7 piles. NOW each pile has exactly the same number of stamps. Altogether there are 11+7=18 equal piles of stamps in front of her.

How many stamps are in each pile? How did you get your answer?

Now.

How many of the stamps are Singapore ones and how many are Malaysian ones? Show working.

Now it is time to interact with me Maia. :))

Melody
Oct 3, 2015

#1**+5 **

Best Answer

Josephine had a total of 540 Singapore and Malaysian stamps in the ratio 11:7. After she had given away an equal number of each type of stamps, the number of Singapore and Malaysia stamps left was in the ratio 7:1. How many Singapore stamps did she give away?

If you are up for it Maia I will work with you to solve this.

**Please other people do not jump in and give Maia the answer to this.**

She has told me that she want to learn and not just copy so this is a bit of a test. (You can answer her other questions if you want to although it would be good if you so not give her the whole answer all at once.)

---------------------------------------

Lets look at the first sentence.

Josephine had a total of 540 Singapore and Malaysian stamps in the ratio 11:7

This means that Josephine could seperate her Singapore and Malaysian stamps into two sperate piles. She could then split her Singapore stamps into 11 separate piles and she could split her Malaysian stamps into 7 piles. NOW each pile has exactly the same number of stamps. Altogether there are 11+7=18 equal piles of stamps in front of her.

How many stamps are in each pile? How did you get your answer?

Now.

How many of the stamps are Singapore ones and how many are Malaysian ones? Show working.

Now it is time to interact with me Maia. :))

Melody
Oct 3, 2015

#2**+5 **Josephine had a total of 540 Singapore and Malaysian stamps in the ratio 11:7. After she had given away an equal number of each type of stamps, the number of Singapore and Malaysia stamps left was in the ratio 7:1. How many Singapore stamps did she give away?

Let x be the original number of Singapore stamps and 540 - x be the original number of Malaysian stamps....and we're told that

x / [540 - x] = 11/7 cross-multiply

7x = 11[540 - x] simplify

7x = 5940 - 11x add 11x to both sides

18x = 5940 divide both sides by 18

x = 330........this is the original number of Singapore stamps

And 540 - 330 = 210 = the original number of Malaysian stamps

Let n be the number of each that she gave away.....and we're told that........

[330 - n] / [210 - n] = 7/1 cross-multiply, again

330 - n = 7[210 - n] simplify

330 - n = 1470 - 7n

6n = 1140 divide both sides by 6

n = 190 = the number of Singapore [and Malaysian] stamps she gave away

CPhill
Oct 4, 2015