Question
Thomas wants to buy a new power tool.
The tool costs $280.
Thomas already has $80 saved.
He mows lawns for $16 per hour.
Thomas needs to mow lawns for h
hours to earn enough money to buy the tool.
Drag and drop the correct responses into the boxes to answer the questions.
What correctly completes the equation so that it represents this situation? 280 =
How many hours does Thomas need to mow lawns to have enough money to buy the tool? h =
16+80+h or 16h+80 or 80h+16 or 16h-80 or 80h-16 or 3.3 or 3.7 or 12.5 or 22.5 or 184.0 or 344.0
Answers
GPT-4o mini
To represent the situation correctly, we need an equation that states that the total money Thomas has after mowing lawns is enough to buy the power tool.
The total amount of money Thomas will have after mowing \( h \) hours is \( 80 + 16h \).
So the equation to represent this situation is:
\[ 280 = 80 + 16h \]
Now, to find out how many hours \( h \) Thomas needs to mow lawns, we can rearrange the equation:
1. Subtract 80 from both sides:
\[ 280 - 80 = 16h \]
\[ 200 = 16h \]
2. Now divide both sides by 16 to solve for \( h \):
\[ h = \frac{200}{16} \]
\[ h = 12.5 \]
So the values to fill in are:
- The equation: **280 = 80 + 16h**
- The hours needed: **h = 12.5**
The total amount of money Thomas will have after mowing \( h \) hours is \( 80 + 16h \).
So the equation to represent this situation is:
\[ 280 = 80 + 16h \]
Now, to find out how many hours \( h \) Thomas needs to mow lawns, we can rearrange the equation:
1. Subtract 80 from both sides:
\[ 280 - 80 = 16h \]
\[ 200 = 16h \]
2. Now divide both sides by 16 to solve for \( h \):
\[ h = \frac{200}{16} \]
\[ h = 12.5 \]
So the values to fill in are:
- The equation: **280 = 80 + 16h**
- The hours needed: **h = 12.5**