Question

math question

Answer 1

@AZ

Answer 2

3 gallons of gas for every 117 miles

First part of the trip he travelled 130 miles in 4 hours
The total trip is 6 hours and he's going at the same rate

So first we need to calculate how many total miles he drives in his 6 hour trip

Answer 3

Do you know how to set up a proportion?

Answer 4

over 100

Answer 5

mhmm not necessarily

So we have

130 miles in 4 hours
?? miles in 6 hours

Answer 6

Since he's going at the same speed, we can set up a proportion like

\(\dfrac{130}{4} = \dfrac{x}{6}\)

Answer 7

so how did you do x

Answer 8

I'm just calling how much he drives in 6 hours as x

Answer 9

since that's what we want to find out

Answer 10

so you would do 130 times 6 and get 780

Answer 11

and then you have to divide by 4!

Answer 12

Here's an example of what we just did

Answer 13

195

Answer 14

when we have something like

a/b = c/d

we cross multiply and get
ad = bc

and now we've gotten rid of the fractions so we can easily solve for whatever we're looking for

Answer 15

Good job!

Answer 16

So now we know that in 6 hours, he drove 195 miles

Answer 17

so he drives 195 miles in 6 hours

Answer 18

I got more questions to

Answer 19

But remember what the question asked us to find!

We want to know how much gas he uses up to drive 195 miles

Answer 20

To drive 117 miles, we need 3 gallons

So for 195 miles, how many gallons of gas do we need?

Answer 21

how did we find that out

Answer 22

We have to set up a proportion once again

\(\dfrac{117}{3} = \dfrac{195}{x}\)

Answer 23

`To drive 117 miles, we need 3 gallons`

This part was given to you in the first line of your question!

Answer 24

so 195 times 3 you would get 585

Answer 25

and divide by 3 to find 'x'

Because remember

Answer 26

65

Answer 27

585/3

Answer 28

195

Answer 29

maybe I should have used a different letter instead of using x again, sorry

Answer 30

wait wait I messed up

Answer 31

we have to divide by 117

Answer 32

5 gallons

Answer 33

\(\dfrac{117}{3} = \dfrac{195}{x}\)

When we cross multiply we get

\( 117 x = 195 \times 3\)

and then

\(\ 117x = 585\)

so 585/117

Answer 34

Perfect! And that's your answer!

Answer 35

thxs

Answer 36

You're welcome!

Answer 37

I might have more questions about different things