Question
Solving a fraction word problem using a linear equation of the form
Henry is saving money to buy a game. So far he has saved
, which is three-fourths of the total cost of the game. How much does the game cost?
Henry is saving money to buy a game. So far he has saved
Ask by Malone Conner. in the United States
Jan 05,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The game costs $16.
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Beyond the Answer
To find out the total cost of the game, we can set up the equation based on the information given. Let
represent the total cost of the game. According to the problem,
. To solve for
, we multiply both sides of the equation by
:
This means the total cost of the game is
.
Now here’s a fun fact: back in the 17th century, fractions were considered quite complex and were often avoided in everyday calculations. However, as mathematical understanding evolved, fractions became essential tools that play a significant role in everything from cooking to construction!
If you’re looking to apply this knowledge in real life, consider budgeting with fractions when planning expenses. For instance, if you anticipate spending
of your month’s savings on entertainment, you can use linear equations to help you allocate your budget effectively. It makes financial planning more manageable, and who doesn’t want to have that extra cash for fun activities?