How many kilograms of the​ 50% fat content chocolate and how many kilograms of the 30​% fat content chocolate are used to make the required 20 kilograms? amount of​ 50% fat content chocolate= kg

Question

A candy company wants to produce 20 kilograms of a special 35% fat content chocolate to conform with customer dietary demands. To obtain​ this, a​ 50% fat content imported chocolate is combined with a 30% fat content domestic chocolate in a special melting process.

Answer 1

50x + 30y = 20(35)

x + y = 20, x = 20 - y

50(20 - y) + 30y = 20(35)

1000 - 50y + 30y = 700

-20y = -300

y = 15

x = 5