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 dolls.) 50

Let

t = cartons of dolls

r = cartons of trucks

We have the following system of equations:

t + r = 100

140t + 430r = 28500

We solve the system:

Step 1:

-430t + - 430r = - 43000

140t + 430r = 28500

Step 2:

-290t = - 14500

Step 3:

t = - 14500 / - 290

t = 50

Answer:

The number of cartons of dolls was:

t = 50