Question

James left a bin outside in his garden to collect rainwater. He notices that 1/4 gallon of water fills 2/3 of the bin.

Answer 1

Answer:

1 bin holds 3/8 gallons of water.

Step-by-step explanation:

1/4 of a gallon=2/3 of a bin.

x gallon=1 bin

We want to find the value of "x" in this situation.

To make 2/3 equal 1, we have to multiply by 3/2, which uses the inverse property. Since we used the inverse property on the bin, we then have to multiply the gallon, 1/4, by 3/2 because we multiplied the bin by 3/2. 1/4 times 3/2 is 3/8 and 2/3 times 3/2 is 6/6 or 1. so now 3/8 gall=1 bin.  

Therefore, one bin holds 3/8 gallon water.

Answer 2

(2/3)x=1/4
x= 3/8

x is the amount of water to fill the whole bin
when 2/3 of the bin is full, you have 1/4
so (2/3) of x is 1/4. then i just solved

hope that helped!