Question

Each car in a rental fleet is either red or white, and there are 75 cars total. There are three more white than twice the number of red cars. How many cars are white?

Answer 1

@beckyg111

Answer 2

@Kitten_is_back

Answer 3

@Nnesha

Answer 4

help plz

Answer 5

well, let's let r = number of red cars and w = number of white cars

we can write two equations using the information in the problem

r + w = 75
w = 2r + 3

know where to go from here?

Answer 6

?

Answer 7

well, ok, I'll walk you through step by step

like the problem says, there are 75 total cars, so

r + w = 75

does that make sense?

Answer 8

yes

Answer 9

the problem also says "there are three more white than twice the number of red cars"

so

w = 2r + 3

with me so far?

Answer 10

yup

Answer 11

so we put them together:

r + w = 75
w = 2r + 3

now, the second equation says w = 2r + 3, so we can replace "w" with "2r+3" whenever we see w

now, going back to the first equation we have:

r + w = 75
r + (2r + 3) = 75

does that make sense?

Answer 12

yeah still with ya

Answer 13

ok, so we have

r + (2r + 3) = 75

can you solve for r now?

Answer 14

so i divide by two

Answer 15

uh, not quite

we have r + (2r + 3) = 75

let's combine the r's together

r + 2r = ?

Answer 16

what do you mean?

Answer 17

just add them together

r + 2r = ?

Answer 18

dang how?

Answer 19

they are numbers tho

Answer 20

r is just a letter that takes the place of a number

think of it this way:

one dog + two dogs = three dogs
one r + 2r = 3r

does that make sense?

Answer 21

yeah

Answer 22

so its 3rs now?

Answer 23

help?

Answer 24

right...

r + 2r = 3r

so far we have:

3r + 3 = 75

now subtract 3 from each side, what do you get?

Answer 25

these are the answers

A)
24


B)
47


C)
48


D)
51

Answer 26

3r + 3 = 75

now subtract 3 from each side, what do you get?

Answer 27

how do you subtract on two sides?

Answer 28

???????????

Answer 29

there are two sides of the equation

3r + 3

and

75

we start off with

3r + 3 = 75

now we take away 3 from each side...

3r + 3 - 3 = 75 - 3

can you take it from here?

Answer 30

ok so 3-3=0 75-3=2 3r+0=72?

Answer 31

yeah!

3r = 72

now divide both sides by 3

Answer 32

ok
one sec

Answer 33

24?

Answer 34

right, so r = 24

now, that means we have 24 red cars, now we can find the number of white cars using

w = 2r + 3

so w = ?

Answer 35

5

Answer 36

5w

Answer 37

hello?

Answer 38

not quite...

r = 24, so we replace "r" with "24"

so w = 2r + 3 = 2(24) + 3 = ?

Answer 39

ok so 27

Answer 40

check your math again

2*(24) = 3 = ?

Answer 41

* means multiply

Answer 42

ok didnt see the times

Answer 43

51

Answer 44

@Vocaloid

Answer 45

right, so w = 51 and 51 is our answer

Answer 46

thanks!!

Answer 47

can you help with one more?