## Q&A - PSLE Math

Academic support for Primary 6 and PSLE
nicnac
KiasuGrandMaster Posts: 1614
Joined: Fri Jan 22,
Total Likes:3

### Re: Q&A - PSLE Math

Printer A can print 40 more worksheets than Printer B in one minute. In a printing job, Printer A took 10 minutes while Printer B took 15 minutes to print the same number of worksheets.
How many worksheets did each printer print ?

Thank you.
According my DD, each printer printed 1200 worksheets.

40 * 10=400
400 * 5 = 80
80 * 15 = 1200

wilburlim
OrangeBelt Posts: 53
Joined: Wed Jan 11,

### Re: Q&A - PSLE Math

I need help for this question:

Amos, Ben and Charles shared the cost of a present. Amos and Ben paid 5/9 of the price of the present. Amos and Charles paid 2/3 of the price of the present. Amos paid \$4. How much did the present cost? Thank you! MathWithModels
YellowBelt Posts: 11
Joined: Sun Dec 28,

### Re: Q&A - PSLE Math

Amos, Ben and Charles shared the cost of a present. Amos and Ben paid 5/9 of the price of the present. Amos and Charles paid 2/3 of the price of the present. Amos paid \$4. How much did the present cost?

Amos and Ben paid 5/9. This means Charlie paid 4/9.
Amos and Charlie paid 2/3. This means Ben paid 1/3.
Now, we can work out Amos' share. Charlie and Ben paid 4/9 + 1/3 = 7/9 altogether, so Amos share is 2/9. The present cost 9/2 x 4 = \$18.

EconsPhDTutor
OrangeBelt Posts: 39
Joined: Sat Jan 23,
Total Likes:1

### Re: Q&A - PSLE Math

wilburlim wrote:I need help for this question:

Amos, Ben and Charles shared the cost of a present. Amos and Ben paid 5/9 of the price of the present. Amos and Charles paid 2/3 of the price of the present. Amos paid \$4. How much did the present cost? Thank you! Let A, B, and C be the amounts paid by each. Let X be the cost of the present.
We are told that

(1) A + B = (5/9) X,
(2) A + C = (2/3) X,
(3) A = \$4.

Add (1) and (2) together to get

(4) 2A + B + C = (11/9) X.

But we know that

(5) A + B + C = X.

And so (4) minus (5) yields

(6) A = (2/9) X.

Together with (3), we have X = (9/2) × \$4 = \$18.

Hope this helps and feel free to ask for any clarifications.

- Dr. Choo Yan Min

www.EconsPhDTutor.com

wilburlim
OrangeBelt Posts: 53
Joined: Wed Jan 11,

### Re: Q&A - PSLE Math

Thanks! One more question:

Aaron had 3/4 as many badges as Ben. Ben has 2/5 as many badges as Calvin. Aaron has 8 badges fewer than Ben. How many more badges does Calvin have than Ben?  alfretztay
KiasuGrandMaster Posts: 1199
Joined: Sun Sep 12,
Total Likes:5

### Re: Q&A - PSLE Math

nicnac wrote:

Printer A can print 40 more worksheets than Printer B in one minute. In a printing job, Printer A took 10 minutes while Printer B took 15 minutes to print the same number of worksheets.
How many worksheets did each printer print ?

Thank you.
According my DD, each printer printed 1200 worksheets.

40 * 10=400
400 * 5 = 80 (It should be 'divided by'. '1200' is the correct answer though.)
80 * 15 = 1200

sushi88
KiasuGrandMaster Posts: 2489
Joined: Thu Sep 26,
Total Likes:163

### Re: Q&A - PSLE Math

wilburlim wrote:Thanks! One more question:

Aaron had 3/4 as many badges as Ben. Ben has 2/5 as many badges as Calvin. Aaron has 8 badges fewer than Ben. How many more badges does Calvin have than Ben?  A has 3u
B has 4u
u-> 8 (A has 8 fewer than B)
C's 2 parts -> 4u = B (because 2/5) so 3 parts -> 4u/2 x 3 = 6u
Calvin has 6u = 6 x 8 = 48 badges more than Ben

alfretztay
KiasuGrandMaster Posts: 1199
Joined: Sun Sep 12,
Total Likes:5

### Re: Q&A - PSLE Math

wilburlim wrote:Thanks! One more question:

Aaron had 3/4 as many badges as Ben. Ben has 2/5 as many badges as Calvin. Aaron has 8 badges fewer than Ben. How many more badges does Calvin have than Ben?  Aaron : Ben
3 : 4

Ben : Calvin
2 : 5
4 : 10

Aaron : Ben : Calvin
3 : 4 : 10

4 - 3 = 1
1u ------- 8
4u ------- 8 x 4 = 32 (Ben)
10u ------- 8 x 10 = 80 (Calvin)
80 - 32 = 48
OR
10 - 4 = 6
6u ------- 6 x 8 = 48

dazzamaituliao
KiasuNewbie Posts: 1
Joined: Thu Apr 28,

### Re: Q&A - PSLE Math

Guys, need your help for this question. Many thanks! The total of 4 numbers is 480. If the first number is tripled, the second number is halved, the third number increases by 58 and the fourth number decreases by 5, the four numbers will have the same value. What is the value of each of the four numbers?

sushi88
KiasuGrandMaster Posts: 2489
Joined: Thu Sep 26,
Total Likes:163

### Re: Q&A - PSLE Math

dazzamaituliao wrote:Guys, need your help for this question. Many thanks! The total of 4 numbers is 480. If the first number is tripled, the second number is halved, the third number increases by 58 and the fourth number decreases by 5, the four numbers will have the same value. What is the value of each of the four numbers?
3N1 = 1/2N2 = N3+58 = N4-5
N2 = 6N1
N3 = 3N1-58
N4 = 3N1+5
N1 + N2 + N3 + N4 = 480
N1 + 6N1 + 3N1 - 58 + 3N1 + 5 = 480
13N1 = 533
N1 = 41
N2 = 6 x 41 = 246
N3 = 3(41) - 58 = 65
N4 = 3(41) + 5 = 128