Tutor MathsGuru: Ask me for your burning Maths questions!
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YLH88:
Hi YLH88,Hi Mathsguru,
Need your help with the below questions :
1) Doran had 8/11 of the number of game cards Thomas had. After Thomas lost 18 cards to Doran, they both had the same number of cards.
a) How many more game cards did Thomas have than Doran at first ?
b) As the game continued, Doran won more cards from Thomas. How many more cards did Thomas lose to Doran such that Doran has 3 times as many cards as him ?
I'm able to get the answer for (a), which is 36. But can't find for (b)
Thank you!
While waiting for Mathsguru's model solution, pls see whether mine using ratio is of any use or not?
(a)
D : T
8 : 11
16 : 22
D : T
19 : 19
(16+22)÷2=19
3u=18
u=6
6u=36
At first, Thomas had 36 more game cards than Doran.
(b)
D : T
19:19
38: 38
D : T
3 : 1
57:19
6u=18 [from part (a) ie 6u=36, reduce half of 36 = 18 since 19:19 has been doubled to 38:38 in part (b)]
u=3
19u = 57
Thomas lost 57 more cards to Doran. -
[quote]Hi YLH88,
While waiting for Mathsguru's model solution, pls see whether mine using ratio is of any use or not?
(a)
D : T
8 : 11
16 : 22
D : T
19 : 19
(16+22)÷2=19
3u=18
u=6
6u=36
At first, Thomas had 36 more game cards than Doran.
(b)
D : T
19:19
38: 38
D : T
3 : 1
57:19
6u=18 [from part (a) ie 6u=36, reduce half of 36 = 18 since 19:19 has been doubled to 38:38 in part (b)]
u=3
19u = 57
Thomas lost 57 more cards to Doran.[/quote]Hi Vanilla Cake,
For (a), I got the answer using the model method. For the unit method, why did you change 8:11 to 16:22 ? Why do we multiple by 2 and not 3 or 4 etc ?
For (b), why do you change from 19:19 to 38:38 and 3:1 to 57:19 ?
Thank you! -
YLH88:
Hi Vanilla Cake,[quote]Hi YLH88,
While waiting for Mathsguru's model solution, pls see whether mine using ratio is of any use or not?
(a)
D : T
8 : 11
16 : 22
D : T
19 : 19
(16+22)÷2=19
3u=18
u=6
6u=36
At first, Thomas had 36 more game cards than Doran.
(b)
D : T
19:19
38: 38
D : T
3 : 1
57:19
6u=18 [from part (a) ie 6u=36, reduce half of 36 = 18 since 19:19 has been doubled to 38:38 in part (b)]
u=3
19u = 57
Thomas lost 57 more cards to Doran.
For (a), I got the answer using the model method. For the unit method, why did you change 8:11 to 16:22 ? Why do we multiple by 2 and not 3 or 4 etc ?
For (b), why do you change from 19:19 to 38:38 and 3:1 to 57:19 ?
Thank you![/quote]Imagine ur drawing a model.
8+11=19 is odd. do you want to draw 9 and a half units or just 38 units? -
YLH88:
Hi Vanilla Cake,[quote]Hi YLH88,
While waiting for Mathsguru's model solution, pls see whether mine using ratio is of any use or not?
(a)
D : T
8 : 11
16 : 22
D : T
19 : 19
(16+22)÷2=19
3u=18
u=6
6u=36
At first, Thomas had 36 more game cards than Doran.
(b)
D : T
19:19
38: 38
D : T
3 : 1
57:19
6u=18 [from part (a) ie 6u=36, reduce half of 36 = 18 since 19:19 has been doubled to 38:38 in part (b)]
u=3
19u = 57
Thomas lost 57 more cards to Doran.
For (a), I got the answer using the model method. For the unit method, why did you change 8:11 to 16:22 ? Why do we multiple by 2 and not 3 or 4 etc ?
For (b), why do you change from 19:19 to 38:38 and 3:1 to 57:19 ?
Thank you\tDoran : 8u + 18 = 11u – 18
3u = 36 (Additional no. of cards Thomas had at first)
(b)\tDoran had = 8u = 8 x 12 = 96
Thomas had = 11u = 11 x 12 = 132
96 + 1p = 3(132 – 1p)
4p = 300
1p = 75
Additional cards Thomas lost = 75 – 18 = 57 -
I have one question :
Mr Tay bought a massage chair for $888. He sold it to Mr Yeo for $850. He later bought the massage chair back from Mr Yeo for $900 and sold it to Mrs Tan for $1000. How much did Mr Tayy gain ?
MTIA ! -
Emelyn:
do it step-by-step...I have one question :
Mr Tay bought a massage chair for $888. He sold it to Mr Yeo for $850. He later bought the massage chair back from Mr Yeo for $900 and sold it to Mrs Tan for $1000. How much did Mr Tayy gain ?
MTIA !
Or
when he buy, money is being gone from his pocket (so we will minus) and when he sell, money is being earned (so we will add).
-$888 + $850 -$900 + $1000
(if you are uncomfortable with a negative integer at the front then use the \"working backwards\" )
$1000 - $900 + $850 - $888 = $62 -
CoffeeCat:
do it step-by-step...Emelyn:
I have one question :
Mr Tay bought a massage chair for $888. He sold it to Mr Yeo for $850. He later bought the massage chair back from Mr Yeo for $900 and sold it to Mrs Tan for $1000. How much did Mr Tayy gain ?
MTIA !
Or
when he buy, money is being gone from his pocket (so we will minus) and when he sell, money is being earned (so we will add).
-$888 + $850 -$900 + $1000
(if you are uncomfortable with a negative integer at the front then use the \"working backwards\" )
$1000 - $900 + $850 - $888 = $62
The qn is actually from a colleague.
Her DD1 (P3) and DD2 (P2) teachers both said answer is $12.
I wonder why..... -
lol you very free visiting the site during work =P.
Anyway this question has gotten the attention of 2 teachers? what’s their working? -
Emelyn:
888 - 850 = 38 - lossI have one question :
Mr Tay bought a massage chair for $888. He sold it to Mr Yeo for $850. He later bought the massage chair back from Mr Yeo for $900 and sold it to Mrs Tan for $1000. How much did Mr Tayy gain ?
MTIA !
900 - 850 = 50 -- loss
1000 - 900 = 100 -- gain
100 - 38 - 50 = $12 gain
Please see amendments that follow this thread. Correct answer is $62 gain. -
I am highly disturbed by this part
900-850=50.
Lets hope others make a comment on this.
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