Answer:
4 hours
Step-by-step explanation:
We know the following:
Total amount Randy earned: $667
Pay for first 40 hours: $14.50 per hour
Pay after 40 hours: $21.75 per hour
We need to find the total extra hours: [tex]x[/tex]
If the total number of hours worked are, [tex]T[/tex], then: [tex]x + 40 = T[/tex]
Total pay received for the first 40 hours: [tex]40 \times 14.50 = 580[/tex]
If out of $667, Randy earns $580 from the first 40 hours, the left over are earned by extra hours.
$667 - $580 = $87 ------- (a)
Total pay received for working after 40 hours: [tex]21.75x[/tex]
We know from eq (a) that total pay is 87, hence we can find the number of hours using this.
[tex]21.75x = 87\\\\x = \frac{87}{21.75}\\\\x = 4[/tex]
Randy worked 4 extra hours.
