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Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.

One Friday night, two large groups of people called Livingston Taxi Service. The first group requested 1 sedan and 2 minivans, which can seat a total of 16 people. The second group asked for 3 sedans and 2 minivans, which can seat a total of 24 people. How many passengers can each type of taxi seat?

A sedan can seat  people, and a minivan can seat  people.

 Jan 26, 2021
 #1
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Let the number of people that a sedan can carry   = S

Let  the number of people that a minivan can carry =  M

 

So

1S + 2M  = 16

3S + 2M  = 24         sbtract the first equation  from the second

 

2S =  8

S = 4

 

Using the  first equation  to find   M

 

1(4)  + 2M  =16

4 +  2M  =16

2M = 16 - 4

2M  =12

M  = 6

 

A sedan can hold 4   people ....a minivan can hold  6

 

 

cool cool cool

 Jan 26, 2021
 #2
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what about this one?

Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.

 

An employee at a construction company is ordering interior doors for some new houses that are being built. There are 3 one-story houses and 6 two-story houses on the west side of the street, which require a total of 93 doors. On the east side, there are 8 one-story houses and 2 two-story houses, which require a total of 94 doors. Assuming that the floor plans for the one-story houses are identical and so are the two-story houses, how many doors does each type of house have?

 

Each one-story house has___  doors, and each two-story house has___  doors.

Guest Jan 26, 2021

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