Juan's gas tank is 1/4 full. After he buys 9 gallons of gas, it is 5/8 full. How many gallons can Juan's tank hold?

Find change

1/4 to 5/8

make bottom numbe 8

1/4 times 2/2=2/8

2/8 to 5/8 is increase of 3/8

3/8 tank=increas=9gallons

3/8 tank=9 gallons

times both sides by 8/3

24/24 tank=72/3 gallons

1 tank=24 gallons

can hold 24 gallons

X = full tank

1/4x + 9 = 5/8x

1/4x - 5/8x = - 9

2/8x - 5/8x = - 9

-3/8x = - 9

x = - 9 / (-3/8)

x = - 9 * - 8/3

x = 72/3

x = 24 gallons for a full tank <==