Q&A - PSLE Math

[SOS mum]

Ps help the following qns. Many tks and God Bless:)

(1) The total number of game cards that Fandi and Geetha had was the same as the number that Eugene had. The total number of game cards that Eugene and Geetha had was 5 times the number that Fandi had.
(a) What was the ratio of the number of game cards that Eugene had to the number of game cards that Geetha had to the number of game cards that Fandi had?
(b) Eugene had 118 game cards more than Fandi. How many game cards did the 3 children have altogether?

(2) Jason and Ricky have 276 marbles altogether. 1/4 of Jason's marbles is 15 more than 1/5 of Ricky's marbles.
(a) How many marbles does each boy have?
(b) Find the ratio of the number of Ricky's marbles to the number of Jason's marbles.

(3) A group of people visited a museum. The admission tickets were $2 for an adult and $0.50 for a child. If the ratio of the number of people to the amount of money collected (in dollars) for admission was 7:8, what fraction of the people were adults?

[numeric]

The ratio of the 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?

[tianzhu]

Hi, ps help. Many tks and God Bless:)

In a swimming club, the ratio of the number of girls to the number of boys was 5:3. After 3 girls and 5 boys joined the club, the ratio became 7:5. How many girls were there in the club at first?

Hi SOS mum

Good Morning.

You may wish to take a look a solution for a similar question.

Hope this helps.

Best wishes.

[tianzhu]

Hi, ps help. Many tks and God Bless:)

In a swimming club, the ratio of the number of girls to the number of boys was 5:3. After 3 girls and 5 boys joined the club, the ratio became 7:5. How many girls were there in the club at first?

Hi SOS mum

Good Morning.

I've managed to find another old similar solution, hope you'll find it useful.

Once students become more familiar, they may just consolidate the information into one table.

Best wishes.

[Ender]

Ps help the following qns. Many tks and God Bless:)

(1) The total number of game cards that Fandi and Geetha had was the same as the number that Eugene had. The total number of game cards that Eugene and Geetha had was 5 times the number that Fandi had.
(a) What was the ratio of the number of game cards that Eugene had to the number of game cards that Geetha had to the number of game cards that Fandi had?
(b) Eugene had 118 game cards more than Fandi. How many game cards did the 3 children have altogether?

E+G = 5F --(1)
Therefore total of E+G+F = 5F + F = 6F

EG: F
5 : 1 --> Let F be 1u, and E+G be 5u

We know F+G =E, (Given in the question)
1u + G = E

Substitute E into eqn (1)
(1u+G) + G = 5u
1u +2G = 5u
2G = 4u
G = 2u

From eqn(1), E= 5u-G
E= 5u-2u=3u

Ratio E : G :F => 3 : 2 : 1

b) 3u - 1u = 118
2u= 118
u=59

Altogether there are 6u = 6(59) = 354

[Ender]

Ps help the following qns. Many tks and God Bless:)

(2) Jason and Ricky have 276 marbles altogether. 1/4 of Jason's marbles is 15 more than 1/5 of Ricky's marbles.
(a) How many marbles does each boy have?
(b) Find the ratio of the number of Ricky's marbles to the number of Jason's marbles.

If Rick's has 5u, 1/4 of Jason would be u+15. Which makes Jason total to be 4u +60

Total = 276 = 5u +4u +60
276 = 9u + 60
216 = 9u
u = 24

Jason = 5u = 120
Ricky = 4u + 60 = 156

b) R : J => 156 : 120 => 13: 10

[SOS mum]

The ratio of the 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?

Tks. Numeric!

[SOS mum]

Hi, ps help. Many tks and God Bless:)

In a swimming club, the ratio of the number of girls to the number of boys was 5:3. After 3 girls and 5 boys joined the club, the ratio became 7:5. How many girls were there in the club at first?

Hi SOS mum

Good Morning.

I've managed to find another old similar solution, hope you'll find it useful.

Once students become more familiar, they may just consolidate the information into one table.

Best wishes.

Tks. Tianzhu for the 2 examples!

[Ender]

Ps help the following qns. Many tks and God Bless:)

(3) A group of people visited a museum. The admission tickets were $2 for an adult and $0.50 for a child. If the ratio of the number of people to the amount of money collected (in dollars) for admission was 7:8, what fraction of the people were adults?

Let number of Adult be A, and children be C
Collection from adult = 2A
Collection from children = C/2

2A + C/2 = 8u ---(1)
A + C = 7u ------(2)

Mulitiply 2 to eqn (1) 4A + C = 16u --(3)

(3) - (2)
3A = 9u
A = 3u

Total is 7u, therefore fraction of adult => 3/7 of total audience.

[SOS mum]

Ps help the following qns. Many tks and God Bless:)

(2) Jason and Ricky have 276 marbles altogether. 1/4 of Jason's marbles is 15 more than 1/5 of Ricky's marbles.
(a) How many marbles does each boy have?
(b) Find the ratio of the number of Ricky's marbles to the number of Jason's marbles.

If Rick's has 5u, 1/4 of Jason would be u+15. Which makes Jason total to be 4u +60

Total = 276 = 5u +4u +60
276 = 9u + 60
216 = 9u
u = 24

Jason = 5u = 120
Ricky = 4u + 60 = 156

b) R : J => 156 : 120 => 13: 10

Tks Ender for the 2 answers!