To find out which fish Sasha bought, we can determine how much each type of fish would cost if she bought 3/4 pound:
-
Salmon:
- Price per pound = $9.60
- Cost for 3/4 pound = \( 9.60 \times \frac{3}{4} = 9.60 \times 0.75 = 7.20 \)
-
Whitefish:
- Price per pound = $7.20
- Cost for 3/4 pound = \( 7.20 \times \frac{3}{4} = 7.20 \times 0.75 = 5.40 \)
-
Swordfish:
- Price per pound = $8.40
- Cost for 3/4 pound = \( 8.40 \times \frac{3}{4} = 8.40 \times 0.75 = 6.30 \)
-
Haddock:
- Price per pound = $6.90
- Cost for 3/4 pound = \( 6.90 \times \frac{3}{4} = 6.90 \times 0.75 = 5.175 \)
From the calculations:
- Salmon would cost $7.20 for 3/4 pound.
- Whitefish would cost $5.40 for 3/4 pound.
- Swordfish would cost $6.30 for 3/4 pound.
- Haddock would cost about $5.18 for 3/4 pound.
Since Sasha spent exactly $5.40, she must have bought whitefish.