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28 Dec 2024, 18:21
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Purse-I: 20
Purse-II: 50
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
65%
(hard)
Question Stats:
60% (02:47) correct
40%
(02:51)
wrong
based on 570
sessions
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Not Attempted Yet
Saoirse had two purses, each filled with red and white pebbles. The first purse had one white pebble for every three red pebbles and the second purse had three white pebbles for every two red pebbles. On Easter, she used all the pebbles in the two purses to create an artwork for her doorstep. The artwork had the same number of red and white pebbles
Select for Purse-I and Purse II, the possible total number of pebbles that Saoirse had in each of her purses respectively, consistent with the information suggested above.
Make only two selections, one in each column
Select for Purse-I and Purse II, the possible total number of pebbles that Saoirse had in each of her purses respectively, consistent with the information suggested above.
Make only two selections, one in each column
| Purse-I | Purse-II | Total Pebbles |
| 10 | ||
| 20 | ||
| 30 | ||
| 40 | ||
| 50 |
ShowHide Answer
Official Answer
Purse-I: 20
Purse-II: 50
31 Dec 2024, 04:15
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Can we do it in multiples, like let us denote white with 'w' and red with 'r'?
So for purse 1, we can denote it in the form w+3r
For purse 2, we can denote it in the form 3w+2r
Now we know that in the final sequence, w=r, so by adding both equations we get 4w+5r.
Now for 4w+ 5r only 1 sequence seems to fit which is 20,50 as any other value will exceed the value in the options available.
So for purse 1, we can denote it in the form w+3r
For purse 2, we can denote it in the form 3w+2r
Now we know that in the final sequence, w=r, so by adding both equations we get 4w+5r.
Now for 4w+ 5r only 1 sequence seems to fit which is 20,50 as any other value will exceed the value in the options available.
twinkle2311
