Welcome to Test-paper.info
Sunday, January 21 2018 @ 12:52 AM CST
 Select a Forum » General Chat » Primary 1 Matters » Primary 2 Matters » Primary 3 Matters » Primary 4 Matters » Primary 5 Matters » Primary 6 Matters » Question, Feedback and Comments » Education Classified
 Forum Index >  Test Paper Related >  Primary 5 Matters P5/6 Maths Q
 | Printable Version
 By: chino (offline)  Wednesday, August 17 2011 @ 08:17 AM CDT (Read 1240 times)
chino

Mary and Andy have some money left in their cash card.
If Mary spends \$2 each day and Andy spends \$3 each day, Mary would have \$24 left after Andy had finished using all his money.
If Andy spends \$2 each day and Mary spends \$3 each day, Andy would have \$29 left after Mary had finished spending all her money.
Find the money each of them have in their cash card.

need to see the steps how to solve such question.
thanks

Newbie

Registered: 03/14/10
Posts: 14

 By: pkrdd (offline)  Wednesday, August 17 2011 @ 10:57 PM CDT
pkrdd

suppose the number of days they spent in both cases as A & B

If MARY = \$2, Andy = \$3 per day,
total together = \$5 * A (number of days) + 24

If MARY = \$3, Andy = \$2 per day,
total together = \$5 * B (number of days) + 29

Their total remains same in both cases

ie 5A + 24 = 5B + 29
--> A = B+1

Mary total when she spends \$2 per day and 3\$ per day is same
2A + 24 = 3B
Substituting for A
2B + 2+ 24 = 3B
B= 26, A=27

Mary = 2 *27 +24 = 78
Andy = 3 *27 = 81

Hope it helps

Junior

Registered: 01/11/10
Posts: 16

 By: chino (offline)  Saturday, August 20 2011 @ 08:32 PM CDT
chino

5A + 24 = 5B +29 end up

A = B + 1 ???

can help explain this, thank you.

Newbie

Registered: 03/14/10
Posts: 14

 By: pkrdd (offline)  Sunday, August 21 2011 @ 02:22 AM CDT
pkrdd

If you draw model with A as 5 units + 25 and B as 5 units + 29
Then you can easily derive 5A = 5B + 5 (Difference of 29 & 25)

alternately, if you do mathematically also
5A + 24 =5B + 29
--> 5A = 5B + (29 -24)
-->5A =5B + 5
--> A= B + 1

Junior

Registered: 01/11/10
Posts: 16

 All times are CST. The time is now 12:52 am.
 Normal Topic Locked Topic Sticky Topic
 New Post Sticky Topic w/ New Post Locked Topic w/ New Post
 View Anonymous Posts Able to Post HTML Allowed Censored Content