Question

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

Answer 1

Dolls= 50 cartons

Step-by-step explanation:

To solve this we have to create a system of equations, and you just need to choose two letters to represent the amount of carton dolls and trucks: Dolls will be T and TRucks will be R:

140t + 430r=28500

T+R= 100

We clear from the second one r and insert that value in the frist one:

r=100-T

140t+430(100-T)= 28500

140t +43000-430t=28500

-290t=14,500

t=-14500/-290

t=50

SO the number of cartons of dolls will be 50.

Answer 2

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