Question
4. Bob bought 3 packs of model cars. He gave 4 cars to Ann. Bob has 11 cars left. How many model cars were in each pack?
Ask by Griffin Adkins. in the United States
Feb 25,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
Each pack had 5 model cars.
Solution
Let's denote the number of model cars in each pack as \( x \).
Since Bob bought 3 packs of model cars, the total number of model cars he had initially is \( 3x \).
After giving 4 cars to Ann, Bob has 11 cars left. Therefore, the total number of model cars Bob had initially minus the 4 cars he gave to Ann is equal to 11.
We can set up the equation based on this information:
\[ 3x - 4 = 11 \]
Now, we can solve for \( x \) to find out how many model cars were in each pack.
Solve the equation by following steps:
- step0: Solve for \(x\):
\(3x-4=11\)
- step1: Move the constant to the right side:
\(3x=11+4\)
- step2: Add the numbers:
\(3x=15\)
- step3: Divide both sides:
\(\frac{3x}{3}=\frac{15}{3}\)
- step4: Divide the numbers:
\(x=5\)
The solution to the equation is \( x = 5 \).
Therefore, there were 5 model cars in each pack.
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Simplify this solution Beyond the Answer
Bob started with 4 cars given to Ann and 11 cars remaining, meaning he originally had a total of 15 cars (4 + 11). Since he bought 3 packs, you can find how many cars were in each pack by dividing the total by the number of packs: 15 cars ÷ 3 packs = 5 cars per pack. So, each pack of model cars contained 5 cars! Now that you know how to break down a word problem, keep in mind that visual aids like diagrams or charts can be incredibly helpful in understanding more complex scenarios. Don't overlook the power of sketching it out!
