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3 years ago

A company uses two vans to transport

Mathematics

2 answers:

gayaneshka [121]3 years ago

8 0

Answer:

The larger van has 23 seats

Step-by-step explanation:

Create a system of Equations:

1. Define variables.

> let x=small van and y=larger van

2. create 2 equations based on the information given.

> y = 6 + x

> 2x + y = 57

3. Use any method to solve

Substitution: 2x + (6 + x) = 57. x=17

now plug x in to the original equation to solve for y (the larger van)

y = 6 + 17 and y = 23

Elimination: 2y = 12 + 2x

y = 57 - 2x

3y = 69 and y = 23

Ne4ueva [31]3 years ago

3 0

X is the seats in the small van.

y is the seats in the large van = (x + 6). Since the large has 6 more seats.

Since the 2 vans can transport 57 people.

Small van makes 2 trips = 2x.

Large van makes one trip = (x + 6).

2x + (x +6) = 57

2x + x + 6 = 57

3x + 6 = 57

3x = 57 -6

3x = 51

x = 51/3

x = 17.

The larger van has (x + 6) = (17 + 6) = 23.

The larger van has 23 seats.

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