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?(1 point)

Question

Responses

whitefish
whitefish

salmon
salmon

swordfish
swordfish

haddock

Answer 1

To determine which fish Sasha bought, we need to find out how much he can get for $5.40 and compare that to the prices of each fish type.

First, calculate the price per pound for each type of fish:

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

Now, divide Sasha's total amount spent by the price per pound for each type of fish to see which one aligns with his purchase of 3/4 lb.

1. For Salmon:

   • Price for 3/4 lb: \( 9.60 \times \frac{3}{4} = 9.60 \times 0.75 = 7.20 \)
   • Not possible since $7.20 ≠ $5.40

2. For Whitefish:

   • Price for 3/4 lb: \( 7.20 \times \frac{3}{4} = 7.20 \times 0.75 = 5.40 \)
   • Possible, since $5.40 = $5.40

3. For Swordfish:

   • Price for 3/4 lb: \( 8.40 \times \frac{3}{4} = 8.40 \times 0.75 = 6.30 \)
   • Not possible since $6.30 ≠ $5.40

4. For Haddock:

   • Price for 3/4 lb: \( 6.90 \times \frac{3}{4} = 6.90 \times 0.75 = 5.175 \)
   • Not possible since $5.175 ≠ $5.40

From the calculations, the only match for Sasha's $5.40 purchase is for whitefish.

Thus, the answer is: whitefish