Question

True or false questions:

1. The movie ticket is $6.
2. Javier can earn up to $8 peeling potatoes for his mother.
3. Javier's mother pays him $0.75 for each pound of potatoes he peels.
4. Javier does not have to use any of his own money toward the purchase of a movie ticket when he peels 8 lbs of potatoes.
5. Javier only needs to peel 2 lbs of potatoes to not use any of his own money.

Answer 1

By calculating, we find that peeling 8 pounds of potatoes at $0.75 per pound earns Javier exactly $6.00, equal to the movie ticket price, making statement 4 true. Statement 5 is false because 2 pounds of potatoes would only earn $1.50, not enough to pay for the ticket.

Step-by-step explanation:

To determine the validity of the true or false statements provided, we need to perform simple mathematical calculations based on the rates and amounts given in the hypothetical scenarios.

Here's what we know:

• Javier earns $0.75 for each pound of potatoes he peels.
• The movie ticket costs $6.00.

For the fourth statement to be true:

1. Javier needs to peel enough potatoes to earn $6.00, the cost of the movie ticket.
2. Dividing the movie ticket price ($6.00) by the amount Javier earns per pound of potatoes ($0.75) gives us 8 pounds of potatoes (6 / 0.75 = 8).
3. Thus, by peeling 8 pounds of potatoes, Javier earns exactly $6.00, which means he does not have to use any of his own money.

The fifth statement claims that peeling 2 pounds of potatoes would be sufficient:

1. Calculating 2 pounds of potatoes at $0.75 per pound gives us $1.50 (2 x 0.75 = 1.5), which is not enough to cover the cost of the ticket.

Therefore:

• Statement 4 is true.
• Statement 5 is false.