Answered

Looking for answers? Westonci.ca is your go-to Q&A platform, offering quick, trustworthy responses from a community of experts. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

Changs gas tank is 1/5 full. After he buys 13 gallons of gas, it is 7/10 full. How many gallons can Changs tank hold?

Sagot :

abcdefdfgfghh

Answer:

26 gallons

Step-by-step explanation:

Set up an equation to represent this problem. Parameter (x) represents the gas tank when it is filled. Based on the problem;

[tex]\frac{1}{5}x + 13 = \frac{7}{10}x[/tex]

Inverse operations;

[tex]\frac{1}{5}x + 13 = \frac{7}{10}x\\-\frac{1}{5}x\\\\13 = \frac{7}{10}x - \frac{1}{5}x\\\\[/tex]

Convert to combine denominator, and simplify,

[tex]13 = \frac{7}{10}x - \frac{1}{5}x\\\\13 = \frac{7}{10}x - \frac{2}{10}x\\\\13 = \frac{5}{10}x\\\\13 = \frac{1}{2}x[/tex]

Inverse operations,

[tex]13 = \frac{1}{2}x\\*2\\\\26 = x[/tex]

26 gallons

We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.