The local art center sells two types of memberships each year. The premium membership is $90, and the regular membership is $60. The center wants to sell a total of 100 memberships. How many premium memberships must the center sell in order to earn $7260 in membership sales?

premium=42

regular=58

Step-by-step explanation:

let the premium be x

and the regular be y

x+y=1001

90x+60y=72602

solve for x and y

x=100-y

put x=100-y in eqn 2 we have

90(100-y)+60y=7260

9000-90y+60y=7260

9000-30y=7260

-30y=7260-9000

-30y=-1740

y=1740/30

y=58

put y=58 in eqn 1 we have

x+58=100

x=100-58

x=42

the two may have that, even a breakdown is probably offered

what i would say the best answer is a. 40.5