Michael, Leo and JuWoong collect stamps. The ratio of the number of Michael's stamps to JuWoong's stamps is 2:7. The number of J uWoon's stamps is 3/4 of the number of Leo's stamps. If Leo has 396 more stamps than Michael, how many stamps do they have altogether?
1 answer:
Answer:
990
Step-by-step explanation:
M/J = 2/7
J = 3/4 L
L = M + 396
7M = 2J
J = 3.5M
3.5M = 3/4 L
L = 4/3(3.5M)
L = 14/3 M
14/3 M = M + 396
11/3 M = 396
M = 3/11 × 396
M = 108
L = M + 396
L = 108 + 396
L = 504
J = 3/4 L
J = 3/4 × 504
J = 378
M + L + J = 108 + 504 + 378 = 990
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