Answer:
An album costs $7 while a single cost $4
Step-by-step explanation:
Let the amount spent on singles be $x while the amount spent on albums be $y
First day, she downloaded 3 albums and 10 singles that cost $61
Hence;
3y + 10x = 61 ••••••••(ii)
Second day, she downloaded 6 albums and 8 singles for $74
8x + 6y = 74 ••••••••(ii)
We now want to use elimination method to solve both equations
Multiply equation i by 2 and ii by i
20x + 6y = 122
8x + 6y = 74
Subtract ii from i now
12x = 48
x = 48/12
x = 4
Recall;
3y + 10x = 61
substitute for x
3y + 10(4) = 61
3y + 40 = 61
3y = 61-40
3y = 21
y = 21/3
y = 7
An album costs $7 while a single cost $4
