A box of chocolates contain dark,milk and white chocolate. 4/5 of the box are white chocolate. 8/15 of the box are milk chocolate.6 chocolate in the box are dark chocolate. What fraction of the box are dark chocolate
To find the fraction of the box that is dark chocolate, we need to determine the total number of chocolates in the box.
Given that 4/5 of the box is white chocolate, and 8/15 of the box is milk chocolate, we can calculate the fraction of the box that is white and milk chocolate combined.
Fraction of the box that is white chocolate = 4/5
Fraction of the box that is milk chocolate = 8/15
Adding these fractions together, we get:
4/5 + 8/15 = 12/15 + 8/15 = 20/15
Since the sum of the fractions exceeds 1, it indicates that the chocolates in the box are over-counted. We need to subtract the extra chocolates.
To calculate the fraction of the box that is dark chocolate, we subtract the sum of the white and milk chocolate fractions from 1.
Fraction of the box that is dark chocolate = 1 - (20/15) = 1 - (4/3)
= 1 - (1 + 1/3)
= 1 - 4/3
= 1/3
Therefore, 1/3 of the box is dark chocolate.
To find the fraction of the box that is dark chocolate, we need to determine the total number of chocolates in the box and then calculate how many of them are dark chocolates.
Based on the given information:
- 4/5 of the box are white chocolates.
- 8/15 of the box are milk chocolates.
- There are 6 dark chocolates in the box.
To calculate the fraction of the box that is dark chocolate, we first need to find the total number of chocolates in the box. Since 4/5 of the box are white chocolates and 8/15 of the box are milk chocolates, the remaining fraction represents the dark chocolates in the box.
The fraction of the box that is dark chocolate is therefore:
1 - (4/5 + 8/15) = 1 - (12/15 + 8/15) = 1 - 20/15 = 15/15 - 20/15 = -5/15
Since we cannot have a negative fraction, it seems that there is a contradiction in the given information. Please double-check the values provided.
solve
(4/5)x + (8/15) + 6 = x
multiply each term by 15
12x + 8x + 90 = 15x
-5x = 90
bogus question
notice 4/5 + 8/15 > 1
check your typing, make appropriate changes to my equation