Question

1. : State whether the following statements are TRUE, FALSE or UNCERTAIN; and justify your answers: Matt lives on popcorn and seafood salads. The price of popcorn is 1 dollar per bag and the price of seafood salads is 2 dollars each. Matt allows himself to spend no more than 13 dollars a day on food. He also restricts his consumption to 5,500 calories per day. There are 1,000 calories in a bag of popcorn and 500 calories in a seafood salad. If he spends his entire money budget each day and consumes no more calories than his calorie limit then he can consume up to 3 bags of popcorn per day, but no more.

Answer 1

Solution: The above statement is False.

Reason: Matt's budget- 13 dollar (he is spending entire budget)

Calorie limit - 5500 calories ( His limit intake)

If he consumes 3 bags of popcorn, then,

Cost : 3×2 dollar = 6 dollar

Calorie: 3 bags× 500 = 1500 calories

As mentioned above, he is spending his entire amount of money and is also conscious of his calorie intake. The above statement is not possible. As, the remaining amount is 7 dollar and if he spends it, he consumes 7000 calories and the total calorie intake would be 8500. So, the above statement is false.