Question

Ily sold 18 items at the street fair. She sold bracelets for $6 each and necklaces for $5 each for a total of $101. Which system of equations can be used to find b, the number of bracelets she sold, and n, the number of necklaces she sold?

b + n = 101
6b + 5n = 18

b + n = 101
5b + 6n = 18

b + n = 18
6b + 5n = 101

b + n = 18
5b + 6n = 101

Answer 1

6b + 5n = 101

Explanation:

The correct system of equations that can be used to find b, the number of bracelets Ily sold, and n, the number of necklaces she sold is:

b + n = 18

6b + 5n = 101

In this system, the first equation represents the total number of items sold, which is 18. Since b represents the number of bracelets and n represents the number of necklaces, the equation b + n = 18 reflects that the total number of bracelets and necklaces sold should add up to 18.

The second equation represents the total amount of money Ily earned from selling bracelets and necklaces. Since bracelets were sold for $6 each and necklaces for $5 each, the equation 6b + 5n = 101 represents the total amount of money earned, which is $101.

Therefore, the correct system of equations is:

b + n = 18

6b + 5n = 101