This month kami sold 70 figurines in 2 sizes. The large figurines sold for $12 each and the small figurines sold for $8 each. The amount of money he received from the sales of the large figurines was equal to the amount of money he received from the sales of the small figurines. How many large figurines did Kami sell?

Respuesta :

He sold 28 large figurines and 42 small figurines. Every three small figurines he sold was equal to two large ones.

Answer:Kami sold 28 large figurines.

Step-by-step explanation:

Let x represent the number of large figurines that Kami sold.

Let y represent the number of small figurines that Kami sold.

This month kami sold 70 figurines in 2 sizes. This means that

x + y = 70 - - - - - - - - - - 1

The large figurines sold for $12 each and the small figurines sold for $8 each. The amount of money he received from the sales of the large figurines was equal to the amount of money he received from the sales of the small figurines. This means that

12x = 8y

y = 12x/8

y = 1.5x

Substituting y = 1.5x into equation 1, it becomes

x + 1.5x = 70

2.5x = 70

x = 70/2.5 = 28

y = 1.5x = 1.5 × 28 = 42