Question

Malika and Alexander are shopping for new guitar strings in a music store. Malika buys 3 packs of strings and 2 music books. Alexander buys 2 packs of strings and one music book. The music book costs $18. Their total cost is $130.25. How much is a pack of guitar strings?

a) $10.25
b) $11.25
c) $12.25
d) $13.25

Answer 1

The cost of a pack of guitar strings, we can set up a system of equations using the information given. Solving the equations, we find that the cost of a pack of guitar strings is approximately $31.42.

Step-by-step explanation:

To find the cost of a pack of guitar strings, we need to set up a system of equations using the information given.

Let's assume the cost of a pack of guitar strings is x dollars.

From the given information, Malika bought 3 packs of strings and 2 music books, and Alexander bought 2 packs of strings and 1 music book. We can write the following equations:

3x + 2(18) = 130.25

2x + 18 = 130.25

Combining like terms, we have:

3x + 36 = 130.25

2x + 18 = 130.25

Subtracting 36 from both sides of the first equation, we get:

3x = 94.25

Dividing both sides of the equation by 3, we get:

x = 31.41666667

Rounding to the nearest cent, we get:

x ≈ $31.42

Therefore, the cost of a pack of guitar strings is approximately $31.42.