Question

Li and Jen went shopping. • Li bought 5 pairs of earrings and 1 necklace for a total of $63. • Jen bought 1 pair of earrings and 2 necklaces for a total of $36. Each pair of earrings cost e dollars and each necklace cost n dollars. Which system of equations can be used to find the cost, in dollars, of each pair of earrings and each necklace?

Answer 1

Earing is $13

Necklace is $10

Explanation:

Firstly, let us express the cost

for Li

5e+n=63---------1

for Jen

e+2n=36---------2

the system of equations are

5e+n=63----1

e+2n=36-----2

Multiply 1 by 1 and 2 by 5 to eliminate e we have

5e+n=63

5e+10n=180

-0-9n=-117

9n=117

Divide both sides by 9 we have

n=117/9

n=13

put n=13 in eqn 1 we have

e+2(13)=36

e+26=36

e=36-26

e=10

Earing is $13

Necklace is $10