Question

i need some help on proportions

Answer 1

If 2 over 3 ton of gravel covers 3 over 4 of a driveway, how many tons of gravel are required to cover the entire driveway?

Answer 2

it depends on the driveway length

Answer 3

idk its 7th grade math

Answer 4

Are you given the length of the driveway?

Answer 5

no

Answer 6

Oh, no need for this length.....

t- ton of gravel
d-driveway

\(\large\color{black}{ \displaystyle \frac{2}{3}t=\frac{3}{4}d }\)

Answer 7

So, you need to solve for d.

Answer 8

yes that is correct

Answer 9

(multiply both sides times 4/3)

\(\large\color{black}{ \displaystyle \frac{2}{3}t\color{red}{\times \frac{4}{3}}=\frac{3}{4}d\color{red}{\times \frac{4}{3}} }\)

Answer 10

idk how but your supost to do it with proportions

Answer 11

ok i get it

Answer 12

good, so what will be your answer?

Answer 13

idk honestly im lost but i can multiply fractions but itll take me a sec

Answer 14

idk i got 1 1/3 and 1

Answer 15

\(\large\color{black}{ \displaystyle \frac{2}{3}t=\frac{3}{4}d }\)

in this proportion, t is tons of gravel, and d is the driveway.

\(\large\color{black}{ \displaystyle \frac{2}{3}t\color{red}{\times \frac{4}{3}}=\frac{3}{4}d\color{red}{\times \frac{4}{3}} }\)

i multiplied times 4/3 to isolate the d (the driveway), because you have to find the number of tons of gravel per a driveway.

\(\large\color{black}{ \displaystyle \frac{2}{3}t\color{red}{\times \frac{ 4}{3}}=\frac{\cancel3}{\bcancel4}d\color{red}{\times \frac{\bcancel 4}{\cancel3}} }\)

4's and 3's cancel.

\(\large\color{black}{ \displaystyle \frac{2}{3}t\color{red}{\times \frac{ 4}{3}}=d }\)

and then multiply the fractions

\(\large\color{black}{ \displaystyle \frac{2}{3}\times \frac{ 4}{3} \times t=d }\)

\(\large\color{black}{ \displaystyle \frac{2\times4}{3\times3}t=d }\)

Answer 16

and then what do you get?
(how many tons of gravel, t, do you need, in order to cover the driveway, d?)

Answer 17

8/6 or 1 1/3

Answer 18

3×3=9, (not 6)

Answer 19

so it is 8/9

Answer 20

oh my bad so 8/9

Answer 21

ya lol

Answer 22

so you need 8/9ths tons of gravel to cover a driveway

Answer 23

yw.

Answer 24

can you help me with one more