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True [87]
3 years ago
6

7) The senior classes at High School A and High School B planned separate trips to

Mathematics
1 answer:
goldfiish [28.3K]3 years ago
3 0

Answer:

Number of students in each van = 18

Number of students in each bus = 53

Step-by-step explanation:

Given: The senior class at High School A rented and filled 2 vans  and 7 buses with 407 students.

High School B rented and filled 1 van and 7 buses with  389 students.

Also, every van and the van had the same number of students in it.

Solution:

Let x denotes number of students in each van and y denotes number of students in each bus.

According to the given information,

2x+7y=407\,\,\,(i)\\x+7y=389\,\,\,  (ii)

From (ii), put x=389-7y in (i)

2(389-7y)+7y=407

778-14y+7y=407\\778-407=7y\\7y=371\\y=\frac{371}{7}=53

Put y=53 in x=389-7y

x=389-7(53)\\=389-371\\=18

Number of students in each van = 18

Number of students in each bus = 53

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