Question

susie buys 2 pieces of salmon, each weighing x pounds, and 1 piece of trout, weighing y pounds, where x and y are integers. the salmon cost $3.50 per pound and the trout cost $5 per pound. if the total cost of the fish was $77, which of the following could be the value of y? a.4 b.5 c.6 d.7

Answer 1

Option (D), To find the value of y, we can set up an equation and substitute the given options. The value of y can be 7.

Step-by-step explanation:

To solve this problem, we can set up an equation based on the given information. The cost of the salmon is $3.50 per pound, so the total cost of the salmon is 2 * x * $3.50. The cost of the trout is $5 per pound, so the total cost of the trout is y * $5. Adding the total costs of the salmon and trout should give us $77.

Setting up the equation:

1. 2 * x * $3.50 + y * $5 = $77

To check which of the given options for y (a, b, c, or d) could be the value, we can substitute each option into the equation and see if it satisfies the equation. If it does, then that option could be the value of y.

Substituting option a:

1. 2 * x * $3.50 + 4 * $5 = $77
2. 7x + 20 = 77
3. 7x = 57
4. x = 8.14 (not an integer)

Substituting option b:

1. 2 * x * $3.50 + 5 * $5 = $77
2. 7x + 25 = 77
3. 7x = 52
4. x = 7.43 (not an integer)

Substituting option c:

1. 2 * x * $3.50 + 6 * $5 = $77
2. 7x + 30 = 77
3. 7x = 47
4. x = 6.71 (not an integer)

Substituting option d:

1. 2 * x * $3.50 + 7 * $5 = $77
2. 7x + 35 = 77
3. 7x = 42
4. x = 6 (an integer)

Option d, y = 7, satisfies the equation and could be the value of y.

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