Question

Ten ice cream bars and 6 ice cream cones cost $13. But if you buy 6 ice cream bars and 10 ice cream cones, the bill will be $11. How much does an ice cream bar cost?

Answer 1

ice creams bars cost 1 dollar

Explanation:

Let ice cream bars = b

Let ice cream cones = c

10b+6c = 13

6b+10c = 11

Multiply the top equation by 5.

5(10b+6c = 13)

50b + 30c = 65

Multiply the second equation by -3

-3(6b+10c = 11)

-18b -30c = -33

We can add these together to eliminate the ice cream cones

50b + 30c = 65

-18b -30c = -33

----------------------------

32b = 32

Divide by 32

b = 1

The bars cost 1 dollar