At a school fete, Nicole buys 5 books and 2 CDs for $50, and Sharyn buys 2 books and 3 CDs for $31. Find the price of i. A book
ii. A CD

One book equals $8 and one CD equals $5

Step-by-step explanation:

Let books be denoted as 'x' and CDs as 'y'

5x + 2y = 50    ...1

2x + 3y = 31    ...2

I usually eliminate the y variable, and to do this, you multiply the first equation by 3 and the second equation by 2, because the lowest common multiple between 2 and 3 is 6.

...1*3    and    ...2*2

15x + 6y + 150    ...3

4x + 6y = 62    ...4

Eliminate y by taking ...4 away from ...3

15x - 4x = 150 - 62

11x = 88

x = 8

Sub this value into ...1

5(8) + 2y = 50

40 + 2y = 50

Rearrange

2y = 50 - 40

2y = 10

y = 5  

This means that one book is $8 and one CD equals $5

step-by-step explanation:

because 1/3 is a fraction. we can tell because there is a divisor symbol between the 1 and the 3. if we were to add 2 fractions together, we would add the numerators, which is the number on top, but not the denominators, which is the number on the bottom

1/3+1/3=2/3

hope this !