Dolls cost $140 per carton and trucks cost $430 per carton. If an order comes in for a total of 100 cartons for $28,500, what was the number of cartons of dolls? (Hint, Let T = Cartons of Trucks

Question

campbell_st · Answer

set up the 2 equations 

D + T = 100            (1)         total number of cartons

140D + 430T = 28500   (2)        total cost

rewrite equation 1

T = 100 - D

and substitute into equation 2


140D + 430(100 - D) = 28500

expand 

140D + 43000 - 430D = 28500

collect like terms

- 290D = -14500

$$D = \frac{-14500}{- 290}$$

then there were 50 cartons of dolls and 50 cartons of trucks

hope this helps