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 34 lb. of fish for $5.40. What fish did he choose?(1 point)
Responses
whitefish
whitefish
salmon
salmon
swordfish
swordfish
haddock
To determine what fish Sasha chose, we need to find the combination of fish that adds up to a total weight of 34 lb and a total cost of $5.40.
Let's start by checking the option of choosing salmon. The cost of salmon per pound is $9.60, so if Sasha chose only salmon, the total cost would be 34 lb * $9.60 = $326.40. Since this is higher than $5.40, we can eliminate salmon as an option.
Next, let's consider the option of choosing whitefish. The cost of whitefish per pound is $7.20, so if Sasha chose only whitefish, the total cost would be 34 lb * $7.20 = $244.80. Again, this is higher than $5.40, so whitefish is not the answer.
Moving on, let's check if Sasha chose swordfish. The cost of swordfish per pound is $8.40, so if Sasha chose only swordfish, the total cost would be 34 lb * $8.40 = $285.60. Since this is higher than $5.40, we can eliminate swordfish as an option.
Finally, let's consider the option of choosing haddock. The cost of haddock per pound is $6.90, so if Sasha chose only haddock, the total cost would be 34 lb * $6.90 = $234.60. This is lower than $5.40, so haddock could be the answer.
Therefore, it is most likely that Sasha chose haddock.
To determine which fish Sasha chose, we can set up a system of equations based on the information given.
Let's assign variables to represent the pounds of each type of fish Sasha bought. Let's call the pounds of salmon "x", the pounds of whitefish "y", the pounds of swordfish "z", and the pounds of haddock "w".
From the information given, we know:
1) The price of salmon per pound is $9.60, so the cost of salmon is 9.60x dollars.
2) The price of whitefish per pound is $7.20, so the cost of whitefish is 7.20y dollars.
3) The price of swordfish per pound is $8.40, so the cost of swordfish is 8.40z dollars.
4) The price of haddock per pound is $6.90, so the cost of haddock is 6.90w dollars.
According to the problem, Sasha bought a total of 34 pounds of fish for $5.40, so the total cost of fish is 5.40 dollars:
9.60x + 7.20y + 8.40z + 6.90w = 5.40
We also know that the total weight of fish Sasha bought is 34 pounds, so the equation representing the total weight is:
x + y + z + w = 34
Now we need to solve these equations simultaneously to find the values of x, y, z, and w.
However, we cannot determine which fish Sasha chose based on the given information. We need additional information or constraints to solve the system of equations and determine the amounts of each type of fish Sasha bought. Please provide more information or constraints to find the answer.