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Natali5045456 [20]
2 years ago
12

The fifth-grade classes at Brookfield School used five identical buses to go on a field trip. •There were a total of 40 seats on

each bus. •All of the seats on four buses were filled. •The fifth bus had 4/5 of the seats filled. •1/8 of all the passengers on the buses were adults. How many adults went on the field trip.
Mathematics
1 answer:
olga2289 [7]2 years ago
8 0
For the first 4 buses divide 40 by 8 to get the number of adults for those buses, it should be five.
For the bus with 4/5 of the seats filled you'll first need to find out how many seats 4/5 of the bus would amount to.  To do this multiply 40 by 4/5, you should get 32.  Then you divide 32 by 8 and you'll get 4.
The adults on the 5 buses would be 5 + 5 + 5 + 5 + 4 = 24.
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Now we have a pair of simultaneous equations which are

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We shall solve this by using the elimination method, since none of the variables has a coefficient of 1. We'll start by multiplying equation (1) by 3 and multiplying equation (2) by 2 (so as to eliminate the m variable)

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We now arrive at the following

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