Band students at Newton high school so candy every year as a fundraiser last year they showed 58 boxes of truffles and 55 boxes of peanut brittle freezing a total of $510 this year they sold 99 boxes of truffles in 55 boxes of peanut brittle from which they raised $715 how much does the band earn from each item
Let T = price of a box of truffles
Let P = priceof a box of peanut brittle
So
58T + 55P = 510
99T + 55P = 715 subtract the first equation fro the second
41T = 205 divide both sides by 41
T = 5 ( each box of truffles = $5 )
And using either equation....
99 (5) + 55P = 715
495 + 55P =715 subtract 495 from both sides
55P = 220 divide both sides by 55
P = 4 ( each box of peanut brittle = $4 )