Final answer:
To find the number of candies in the box, we can set up an equation with the number of candies eaten by Chloe and Jason. Simplifying the equation, we find that there were 8 candies in the box.
Step-by-step explanation:
To find the number of candies in the box, we need to determine the total number of candies eaten by Chloe and Jason. Chloe ate 1/8 of the candies, so let's represent the number of candies in the box as x.
Chloe ate (1/8)x candies. Jason ate 6 more than Chloe, so Jason ate (1/8)x + 6 candies.
The total number of candies eaten by Chloe and Jason is (1/8)x + (1/8)x + 6. We know that this total should equal the number of candies in the box, x. So, we can set up an equation:
(1/8)x + (1/8)x + 6 = x
Simplifying the equation, we get:
(2/8)x + 6 = x
Multiplying both sides of the equation by 8, we get:
2x + 48 = 8x
Subtracting 2x from both sides of the equation, we get:
48 = 6x
Dividing both sides of the equation by 6, we get:
x = 8
Therefore, there were 8 candies in the box.