Question

A game show contestant is given $1,000 and then asked 15 trivia questions. For every incorrect answer, the contestant loses $50. How many questions can the contestant get wrong and still take home a minimum of $700?

Answer 1

A contestant can get a maximum of 6 questions wrong to still have at least $700 after losing $50 for each incorrect answer from the original $1,000.

Step-by-step explanation:

The game show contestant starts with $1,000 and loses $50 for every incorrect answer. To determine how many questions the contestant can get wrong and still take home at least $700, we calculate the maximum total loss allowed and then divide by the loss per incorrect question.

The formula to calculate the number of incorrect answers allowed is:

1. Calculate the total amount the contestant wants to take home: $700.
2. Subtract this from the initial amount given: $1,000 - $700 = $300.
3. Divide the difference by the loss per incorrect answer: $300 / $50 = 6.

This means to have at least $700, the contestant can afford to answer a maximum of 6 questions incorrectly.