Question

At the fish counter, salmon was selling for $9.60 a pound, whitefish for $7.20 a pound, swordfish for $8.40 a pound, and haddock for $6.90 a pound. Sasha bought 3/4 lb. of fish for $5.40. What fish did he choose?

Answer 1

On a quiz show, a contestant loses $12.50 in prize money for each wrong answer. One contestant has answered no questions right and 6 questions wrong. What is his balance of prize money?

Answer 2

What is the quotient when you divide −7/8 by - 1/5

Answer 3

To find out which fish Sasha bought, we first need to determine how much she spent per pound based on the weight of fish she purchased.

Sasha bought 3/4 lb. of fish for $5.40. To find the price per pound, we divide the total cost by the weight she bought:

\[
\text{Price per pound} = \frac{\text{Total cost}}{\text{Weight}} = \frac{5.40}{\frac{3}{4}} = 5.40 \times \frac{4}{3} = \frac{21.6}{3} = 7.20
\]

So, the price per pound of the fish Sasha bought is $7.20.

Now, we can compare this price to the prices of the fish available:

- Salmon: $9.60 per pound
- Whitefish: $7.20 per pound
- Swordfish: $8.40 per pound
- Haddock: $6.90 per pound

Since the price per pound for the fish Sasha bought is $7.20, it matches the price of whitefish. Therefore, Sasha chose:

**Whitefish.**

Answer 4

To determine the contestant's balance of prize money, we need to calculate the total amount he has lost based on the number of wrong answers.

Given:
- The contestant loses $12.50 for each wrong answer.
- The contestant answered 6 questions wrong.

We can calculate the total loss as follows:

\[
\text{Total loss} = \text{Number of wrong answers} \times \text{Loss per wrong answer} = 6 \times 12.50
\]

Now, calculating that:

\[
\text{Total loss} = 6 \times 12.50 = 75.00
\]

Therefore, the contestant has lost a total of $75.00.

Since he has answered no questions right, his balance of prize money (assuming he started with $0) would be:

\[
\text{Balance} = 0 - 75.00 = -75.00
\]

Thus, the contestant’s balance of prize money is:

**-$75.00** (indicating a loss).

Answer 5

To find the quotient when dividing \(-\frac{7}{8}\) by \(-\frac{1}{5}\), we can apply the rule that states dividing by a fraction is equivalent to multiplying by its reciprocal.

Here’s how the calculation looks:

\[
-\frac{7}{8} \div -\frac{1}{5} = -\frac{7}{8} \times -5
\]

Since the negatives cancel each other out, we can simplify this to:

\[
\frac{7}{8} \times 5 = \frac{7 \times 5}{8}
\]

Calculating the multiplication:

\[
= \frac{35}{8}
\]

Thus, the quotient when you divide \(-\frac{7}{8}\) by \(-\frac{1}{5}\) is:

\[
\frac{35}{8}
\]

This is the final answer.