Question

Aldo's gas tank is 1/6 full. After he buys 14 gallons of gas, it is 3/4 full. How many gallons can Aldo's tank hold?

Answer 1

Any ideas?

Answer 2

I really don't know... Taking a guess, 1/6+14?

Answer 3

Decide what unknown number is asked for and what facts are known.

Answer 4

How many gallons can Aldo's tank hold?
Is what is being asked for.

Answer 5

Fact #1: Aldo's gas tank is 1/6 full.

Fact #2: After he buys 14 gallons of gas, it is 3/4 full.

Answer 6

right.

Answer 7

so x=1/6+14=3/4 ?

Answer 8

How much of the tank is from 1/6 full to 3/4 full?

Answer 9

7/12 ?

Answer 10

if i did that right, i subtracted.
sorry, lol. I didn't have a lesson, it was a straight test.

Answer 11

You did it correctly 3/4 - 1/6 = 7/12 full

Answer 12

So now you know that (7/12) ths of the tank is how many gallons of gas?

Answer 13

Look at fact #2

Answer 14

i don't know how to figure out what that is in terms of gallons of the gas.

Answer 15

Fact #2: After he buys 14 gallons of gas, it is 3/4 full.

Answer 16

1/6------14gal-------->3/4

Answer 17

mhm.....

Answer 18

that 14 isn't the 7/12 though

Answer 19

?*

Answer 20

Sure it is.

Answer 21

so, add them all up?

Answer 22

It took 14 gals to fill 7/12ths of the tank, from 1/6 to 3/4.

That is the difference between 3/4 and 1/6, so that is how much gas is between them.

Answer 23

Something about that isn't right.... I can't enter fractions as an answer and the decimal is 0.583. We only figured out what was between the two.. not how many gallons total his car can hold

Answer 24

True, that is the next step.

Answer 25

We need to reread the problem and write an equation that represents relationships among the numbers in the problem.

Answer 26

i got it. thanks

Answer 27

Set up a proportion: $$\frac{14}{\frac{7}{12}} =\frac{x}{1}$$

Answer 28

Thanks for trying to learn something new :)