A delivery truck is transporting boxes of two sizes: large and small. The large box weighs 60 pounds each, and the small box weighs 30 pounds each. There are 125 boxes in all. If the truck is carrying a total of 5700 pounds in boxes, how many of each type of box is it carrying

Answer:60 small boxes and 65 large boxesStep-by-step explanation:From the given information we can make two equations:L + S = 12560L + 30S = 5700S represents the number of small boxes and L represents the number of large boxes.To solve an equation we need there to be only one variable, so I solved for s in the first equation.L + S = 125S = 125 - LNow I can plug this into the second equation60L + 30S = 570060L + 30(125 - L) = 5700 (substitute S)60L + 3750 - 30L = 570030L + 3750 = 5700 (combine like terms)30L = 1950 (subtract 3750 from both sides)L = 65 (divide both sides by 30)Now that we know there are 65 larger boxes, plug in 65 for L to find S.S = 125 - LS = 125 - 65S = 60So there are 65 large boxes and 60 small boxes