At the fish counter, salmon was selling for 9.60 a pound, white fish for 7.20 a pound, swordfish for 8.40 a pound and haddock for 6.90 a pound. Sasha bought 3/4 pound of fish 5.40 what fish did he choose?
Let's assume Sasha bought x pounds of salmon.
So, the cost of x pounds of salmon is 9.60x.
Similarly, the cost of white fish and swordfish would be 7.20(3/4 - x) and 8.40(3/4 - x) respectively.
Since the total cost is 5.40, we can write the equation:
9.60x + 7.20(3/4 - x) + 8.40(3/4 - x) = 5.40.
Expanding the equation, we get:
9.60x + 5.40 - 7.20x + 6.30 - 8.40x = 5.40.
Combining like terms, we have:
-5.00x + 11.70 = 5.40.
Subtracting 11.70 from both sides of the equation:
-5.00x = 5.40 - 11.70,
-5.00x = -6.30.
Dividing both sides by -5.00:
x = -6.30 / -5.00,
x = 1.26.
Since Sasha can't buy negative pounds of fish, we conclude that Sasha bought 1.26 pounds of salmon.
Therefore, Sasha chose to buy salmon at the fish counter.
To determine which fish Sasha chose, we can set up an equation using the given information.
Let's say the fish Sasha chose is "X".
According to the question, Sasha bought 3/4 pound of fish for $5.40. So, we can set up the equation:
(X price per pound) × (3/4 pound) = $5.40
Now, let's substitute the prices for each fish:
- For salmon: (9.60) × (3/4) = $<<9.60*3/4=7.20>>7.20
- For white fish: (7.20) × (3/4) = $<<7.20*3/4=5.40>>5.40
- For swordfish: (8.40) × (3/4) = $<<8.40*3/4=6.30>>6.30
- For haddock: (6.90) × (3/4) = $<<6.90*3/4=5.18>>5.18
So, we can see that Sasha bought the white fish, as it matches the price of $5.40 for 3/4 pound.
To determine which fish Sasha chose, we need to compare the total cost of the fish to the given information. Let's break it down step by step:
First, we know that Sasha bought 3/4 pound of fish for a total of $5.40. To find the price per pound, we need to divide the total cost by the weight:
$5.40 ÷ 3/4 = $5.40 ÷ 0.75 = $7.20
So the price per pound is $7.20.
Next, we can compare this price to the prices of the different types of fish available:
- Salmon: $9.60 per pound
- White fish: $7.20 per pound
- Swordfish: $8.40 per pound
- Haddock: $6.90 per pound
Since the price matches the cost of white fish, Sasha must have chosen white fish.
Therefore, Sasha chose white fish.