214k views
1 vote
Deon's gas tank is  1/5  full. After he buys  13  gallons of gas, it is  7/10  full. How many gallons can Deon's tank hold?​

User Stytown
by
8.2k points

2 Answers

2 votes

Answer:

26 gallons.

Explanation:

7/10 - 1/5

= 7/10 - 2/10

= 5/10 = 1/2.

So the tank holds 2*13 = 26 gallons.

User IncredibleHat
by
7.7k points
2 votes

Answer/Step-by-step explanation:

We start with the variable "x". Let's call "x" Dan's full tank.

So we know that right now he has 1/5x or 1/5 of a full tank.

After adding 13 gallons, at the end, he has 7/10x, or 7/10 of a full tank

So we start with

(1/5)x + 13 = 7/10x

Let's subtract 1/5x from both sides

13 = 7/10x - 1/5x

Remember, we need to use common denominators to subtract, so 1/3 becomes 2/10

13 = 7/10-2/10x

Now we simplify to get

13 = 5/10x

Multiply the reciprocal of 5/10 to both sides which is 10/5

13 * 10/5= x

Answer is 26 gallons.

Therefore, Deon's tank can hold 26 gallons.

User Jenna Leaf
by
7.7k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories