Question

Band students at richmond high school sell candy every year as a fundraiser. last year, they sold 51 boxes of truffles and 76 boxes of peanut brittle, raising a total of $254. this year, they sold 51 boxes of truffles and 67 boxes of peanut brittle, from which they raised $236. how much does the band earn from each item?

Answer 1

To determine the amount the band earns from selling each item, we need to solve a system of equations using the given information. The band earns $3 from each box of truffles and $2 from each box of peanut brittle.

Step-by-step explanation:

To determine the amount the band earns from selling each item, we need to solve a system of equations using the given information. Let x represent the amount earned from each box of truffles and y represent the amount earned from each box of peanut brittle. From the information given, we can set up the following system of equations:

51x + 76y = 254

51x + 67y = 236

Solving this system of equations, we can find the values of x and y, which represent the amount earned from each item. By subtracting the second equation from the first equation, we get 9y = 18, and solving for y gives us y = 2. Substituting this value back into either equation, we find that x = 3. Therefore, the band earns $3 from each box of truffles and $2 from each box of peanut brittle.