Dena bought 4 stuffed animals and 7 toy trains for $75. At the same prices, Nico bought 6 stuffed animals and 5 toy trains for $74. What is the price of a stuffed animal?

$6.50

Step-by-step explanation:

Create a system of equations, where s represents the price of a stuffed animal and t represents the price of a toy train:

4s + 7t = 75

6s + 5t = 74

Solve by elimination by multiplying the top equation by 3 and the bottom equation by -2:

12s + 21t = 225

-12s - 10t = -148

11t = 77

t = 7

Plug 7 in as t to find s:

4s + 7t = 75

4s + 7(7) = 75

4s + 49 = 75

4s = 26

s = 6.5

= $6.50 for a stuffed animal

21

step-by-step explanation: