Q&A - P5 Math

[tianzhu]

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Hi, Can someone pls help with this question:


Farmer Tan has ducks and cows on his farm. The total number of ducks and cows is between 20 and 40. The ratio of the total number of ducks' legs to the total number of cows' legs is 5:9. What is the total number of ducks and cows on the farm?

Thanks

Hi

One needs to differentiate the ratios representing the number of legs and the number of animals. The ratios for the number of legs and the number of animals are of different measures.

The total number of ducks' legs to the total number of cows' legs is 5:9 ------ 20:36 (equivalent ratios)

A duck ----- 2 legs, a cow ----- 4 legs

This means the total number of ducks to the total number of cows ----- 10:9 -----20:18

Ducks ----- 20
Cows ----- 18

There are 38 ducks and cows.

Best wishes

[ariasnow]

Need help on this question.



Ali’s salary was 5/6 of Teri’s salary. After Ali and Teri each spent $1080, Ali then had 7/9 as much as money as Teri. How much was their combined income?

thanks.

[ariasnow]

Another question:


Sam had 20 more cards than Tony. During a game, Tony lost 14 of his cards to Sam. In the end, Sam had 4 times the number of cards that Tony had. How many cards did Sam have at first?

[tianzhu]

ariasnow:

Need help on this question.



Ali's salary was 5/6 of Teri's salary. After Ali and Teri each spent $1080, Ali then had 7/9 as much as money as Teri. How much was their combined income?

thanks.

Hi

Since Ali and Teri spent the same amount of money(1080), the difference in their salary did not change.

At first

Ali:Teri -----5:6 (Difference – 1) ------ 10:12 ((Difference – 2)

In the end

Ali:Teri -----7:9 (Difference – 2)

Make the difference in units the same.

3 units ------ 1080
1 unit ------ 360

Combined salary ------ 22*360 ------- 7920

Best wishes

[ariasnow]

Another question.


Tom was reading a book. He read 1/8 of it on the first day, 1/5 of it on the 2nd day and 1/4 of it on the 3rd day. After that, he still had 68 pages to read. How many pages does the book have?

[ariasnow]

Pls help with the above questions with thanks.


Another question,

Wendy had $230 and Mary had $38. When their mother gave them each an equal amt of money, Wendy had 4 times as much as Mary. How much did their father give EACH of them?

[ariasnow]

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Ali, Bala and Charles shared a sum of $. Ali recieved 1/3 of the amt that Bala and Charles recieved altogether. The amt Bala recieved is 1/2 of the total amt that Ali and Charles recieved. If Charles recieved $110, find the total amt that Ali and Bala recieved altogether.

[ariasnow]

Need help:


At a party, 6/11 of the people were children while 5/7 of the adults were women. There were 3 times as many boys as girls and 60 more women than men. After that, 14 men and 7 women left the party.

a) How many ppl were there at the party in the beginning?
b)How many of the people at the party in the end were male?

[ariasnow]

Help needed on this one. thks.


Lili,Mely and Natie had $130 altogether at first. After 4/5 of lili’s money, 5/7 of Mely’s money and 7/9 of Natie money had been spent, the 3 girls had equal amts of money left. What was the total amt that lili and Natie had at first?

[ariasnow]

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Ali, Bala and Charlie shared a number of sweets. Ali took 1/5 of the sweets and another 25 sweets. Bala took 1/3 of the remainng sweets and another 50 sweets. Charilie took the remaining 40 sweets. How many sweets were there altogether?