Primary 6 Maths Problem 1

Hi Everybody

Can you help me how to solve this?

Thanks brothers and sisters.

1) During a travel fair, 90 families choose HKG as their holiday destination.

80% of the remaining families chose TWN while the rest chose MYR.

Given that 1/10 of the families chose MYR, how many families were there at the travel fair?

+++++++++++++++++++++++++++++++++++++

2) 2/9 of A is 5/7 of B. What is the ratio of B to A??

+++++++++++++++++++++++++++++++++++++

Yours faithfully,

@LikeYou.

Hi Everybody

Can you help me how to solve this?

Thanks brothers and sisters.

1) During a travel fair, 90 families choose HKG as their holiday destination.

80% of the remaining families chose TWN while the rest chose MYR.

Given that 1/10 of the families chose MYR, how many families were there at the travel fair?

+++++++++++++++++++++++++++++++++++++

2) 2/9 of A is 5/7 of B. What is the ratio of B to A??

+++++++++++++++++++++++++++++++++++++

Yours faithfully,

@LikeYou.

For question 1),

80% of the remaining families choose Taiwan means that 20% of the remaining families choose Myanmar.

20% of the remaining families = 1/10 of all families

100% of the remaining families = 1/10 X 5 = 1/2 of all families

Thus, the 90 families who chose Hong Kong = 1 - 1/2 = 1/2 of all families

Hence, the total amount of families at the fair will be 90 X 2 = 180 families.

For question 2),

2/9 of A is 5/7 of B.

We will try to make the numerator same. Thus, we have:

10/45 of A is 10/14 of B.

Hence, the ratio of B to A is 14 : 45.

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Hi Forb, thks for your solution. I will tried to explain it to my kids. Thanks alot for your help.

@LikeYou.

A:2/9 -> 14/63

B:5/7 -> 45/63
B:A
Ratio -> 45:14

A:2/9 -> 14/63

B:5/7 -> 45/63
B:A
Ratio -> 45:14

Ratio of B to A is indeed 14 : 45, not 45 : 14. You can try working backwards.