Question

PLEASE HELP

On a shopping trip in Los​ Angeles, Rosaria Perez ordered 120 pieces of​ jewelry: a number of bracelets at ​$10 each and a number of necklaces at ​$11 each. She wrote a check for ​$1,270 to pay for the order. How many bracelets and how many necklaces did Rosaria​ purchase?

Answer 1

Rosaria purchased 50 bracelets and 70 necklaces

Explanation:

Let the number of bracelets be b and the number of necklaces be n

b + n = 120 •••••(i)

Secondly;

10b + 11n = 1270 ••••(ii)

Total cost of b bracelets at 10 per 1 is 10b

Total cost of n bracelets at 11 per 1 is 11n

Adding both gives 1270

From i, b = 120-n

Substitute this into ii

10(120-n) + 11n = 1270

1200 - 10n + 11n = 1270

n = 1270-1200

n = 70

b = 120-n

b = 120-70

b = 50