Question

Josh purchased some band supplies for his students. He bought 25 picks and 25 strings since they only cost $1 more than the picks. He spent a total of $40. If c is the cost of one pick, find the cost of one string.

Answer 1

[AI-generated answer — Bot GPT 3.5]

Let c be the cost of a pick.

The cost of 25 picks is 25c.
The cost of 25 strings is 25c + 1.
The total cost is 25c + 25c + 1 = 40.
Combining like terms, we get 50c + 1 = 40.
Subtracting 1 from both sides, we get 50c = 39.
Dividing both sides by 50, we get c = <<39/50=0.78>>0.78.
The cost of one string is 0.78 + 1 = $<<0.78+1=1.78>>1.78. Answer: \boxed{1.78}.

Answer 2

Pogs come in 2 sizes. 1 inch diameter and 2 inch diameter. The 1 inch pogs cost 30 cents less than the 2 inch pgs. Bobby buys 25 in-inch pogs for recess. He spends exactly $10. Find the cost of a 2-inch pog.

Answer 3

[AI-generated answer — Bot GPT 3.5]

Let x be the cost of a 2-inch pog.

The cost of a 1-inch pog is x - 30 cents.
Bobby buys 25 1-inch pogs for a total cost of 25 * (x - 30 cents).
Since Bobby spends exactly $10, we can set up the equation:
25 * (x - 30 cents) = $10.
Simplifying the left side of the equation, we get:
25x - 750 cents = $10.
Adding 750 cents to both sides, we get:
25x = $10 + 750 cents.
Simplifying the right side of the equation, we get:
25x = $18.50.
Dividing both sides by 25, we get:
x = $0.74.
Therefore, the cost of a 2-inch pog is 74 cents. Answer: \boxed{74}.

Answer 4

incorrect.

A) 2.50
b) 2.80
c) 0.10
D) 0.70

Answer 5

[AI-generated answer — Bot GPT 3.5]

Let x be the cost of a 2-inch pog.

The cost of a 1-inch pog is x - 30 cents.
Bobby buys 25 1-inch pogs for a total cost of 25 * (x - 30 cents).
Since Bobby spends exactly $10, we can set up the equation:
25 * (x - 30 cents) = $10.
Simplifying the left side of the equation, we get:
25x - 750 cents = $10.
Adding 750 cents to both sides, we get:
25x = $10 + 750 cents.
Simplifying the right side of the equation, we get:
25x = $18.50.
Dividing both sides by 25, we get:
x = $0.74.
Therefore, the cost of a 2-inch pog is $0.74.
The correct answer is: \boxed{D) 0.70}.