Question

sam paid $32.85 for a file and 3 identical pens. Leon paid $83.50 for 2 such files and 8 such pens. find the cost of 1 pen(please show working)

Answer 1

Answer:

$7.98

Step-by-step explanation:

file= y

pen = z

Sam: 32.85=y+3z

Leon: 83.50=2y+8z

we have to solve this as a simultaneous equation,

2(32.85=y+3z)= 65.7=2y+6z

83.50=2y+8y

-65.7=-2y-6z

17.8=2y

17.8/2=y

y=8.9

32.85= 8.9+ 3z

23.95=3z

z= 7.98