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Container 1: 72
Container 2: 64
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
95%
(hard)
Question Stats:
67% (02:42) correct
33%
(02:34)
wrong
based on 259
sessions
History
Date
Time
Result
Not Attempted Yet
Clara was assembling display trays using gold, green, and white beads from two containers.
In Container 1, the ratio of gold beads to green beads to white beads was 1 : 3 : 2.
In Container 2, the ratio of gold beads to green beads to white beads was 4 : 1 : 3.
Across the two containers combined, the total number of gold beads was equal to the total number of green beads.
Select for Container 1 the possible total number of beads in Container 1, and select for Container 2 the possible total number of beads in Container 2, that would be jointly consistent with the given information. Make only two selections, one in each column.
In Container 1, the ratio of gold beads to green beads to white beads was 1 : 3 : 2.
In Container 2, the ratio of gold beads to green beads to white beads was 4 : 1 : 3.
Across the two containers combined, the total number of gold beads was equal to the total number of green beads.
Select for Container 1 the possible total number of beads in Container 1, and select for Container 2 the possible total number of beads in Container 2, that would be jointly consistent with the given information. Make only two selections, one in each column.
| Container 1 | Container 2 | |
| 40 | ||
| 45 | ||
| 54 | ||
| 64 | ||
| 72 | ||
| 81 |
ShowHide Answer
Official Answer
Container 1: 72
Container 2: 64
|
⚠️ Important: GMAT Club does not allow AI-generated posts. AI-generated solutions are not eligible for kudos, and users who post them may face moderation action, including a ban.
I31-48
14 Jul 2026, 09:00
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Clara was assembling display trays using gold, green, and white beads from two containers.
In Container 1, the ratio of gold beads to green beads to white beads was 1 : 3 : 2.
In Container 2, the ratio of gold beads to green beads to white beads was 4 : 1 : 3.
Across the two containers combined, the total number of gold beads was equal to the total number of green beads.
Select for Container 1 the possible total number of beads in Container 1, and select for Container 2 the possible total number of beads in Container 2, that would be jointly consistent with the given information. Make only two selections, one in each column.
In Container 1, the ratio of gold beads to green beads to white beads is 1 : 3 : 2. So:
Gold = x
Green = 3x
White = 2x
Total = 6x
In Container 2, the ratio of gold beads to green beads to white beads is 4 : 1 : 3. So:
Gold = 4y
Green = y
White = 3y
Total = 8y
Across the two containers combined, the number of gold beads equals the number of green beads. So:
x + 4y = 3x + y
3y = 2x
x = 3y/2
So the total number of beads in Container 1 is:
6x = 6 * 3y/2 = 9y
The total number of beads in Container 2 is:
8y
Therefore, the totals in Container 1 and Container 2 must be in the ratio 9 : 8. Check the options for a 9 : 8 ratio pair.
The pair 45 and 40 has the ratio 9 : 8, but 45 cannot be the total for Container 1 because Container 1’s total must be a multiple of 6 (because of 6x).
The pair 72 and 64 has the ratio 9 : 8, and 72 is a multiple of 6 while 64 is a multiple of 8.
The pair 81 and 72 has the ratio 9 : 8, but 81 cannot be the total for Container 1 because Container 1’s total must be a multiple of 6 (because of 6x).
Answer:
Container 1 = 72
Container 2 = 64
GMAT-Club-Forum-eflpymg2.png [ 12.82 KiB | Viewed 1581 times ]
In Container 1, the ratio of gold beads to green beads to white beads was 1 : 3 : 2.
In Container 2, the ratio of gold beads to green beads to white beads was 4 : 1 : 3.
Across the two containers combined, the total number of gold beads was equal to the total number of green beads.
Select for Container 1 the possible total number of beads in Container 1, and select for Container 2 the possible total number of beads in Container 2, that would be jointly consistent with the given information. Make only two selections, one in each column.
In Container 1, the ratio of gold beads to green beads to white beads is 1 : 3 : 2. So:
Gold = x
Green = 3x
White = 2x
Total = 6x
In Container 2, the ratio of gold beads to green beads to white beads is 4 : 1 : 3. So:
Gold = 4y
Green = y
White = 3y
Total = 8y
Across the two containers combined, the number of gold beads equals the number of green beads. So:
x + 4y = 3x + y
3y = 2x
x = 3y/2
So the total number of beads in Container 1 is:
6x = 6 * 3y/2 = 9y
The total number of beads in Container 2 is:
8y
Therefore, the totals in Container 1 and Container 2 must be in the ratio 9 : 8. Check the options for a 9 : 8 ratio pair.
The pair 45 and 40 has the ratio 9 : 8, but 45 cannot be the total for Container 1 because Container 1’s total must be a multiple of 6 (because of 6x).
The pair 72 and 64 has the ratio 9 : 8, and 72 is a multiple of 6 while 64 is a multiple of 8.
The pair 81 and 72 has the ratio 9 : 8, but 81 cannot be the total for Container 1 because Container 1’s total must be a multiple of 6 (because of 6x).
Answer:
Container 1 = 72
Container 2 = 64
Attachment:
GMAT-Club-Forum-eflpymg2.png [ 12.82 KiB | Viewed 1581 times ]
General Discussion
14 Jul 2026, 08:24
Kudos
Bookmarks
Container 1 = Gold / Green / White = 1/3/2 let unit be x x/3x/2x
Container 2, let unit be y = 4y/1y/3y
x+ 4y = 3x +y
3y = 2x
1.5 y = x
Total units in container 1 = 6x = 9y; in container 2 = 8y
So we have to find 2 values wherein ratio is 9/8, 72 64 or 81 72, we cant choose 81 72 because 81 is not divisible by 6 (x has 6 total units)
Container 2, let unit be y = 4y/1y/3y
x+ 4y = 3x +y
3y = 2x
1.5 y = x
Total units in container 1 = 6x = 9y; in container 2 = 8y
So we have to find 2 values wherein ratio is 9/8, 72 64 or 81 72, we cant choose 81 72 because 81 is not divisible by 6 (x has 6 total units)
