question 19.
A master electrician earns $62 per hour. His apprentice earns $40 per hour. The master electrician works 3 hours more than the apprentice. If together they are paid $492, how much does the master electrician earn?
Responses
A $292$292
B $312$312
C $332$332
D $372
question 21.
Peter and Catherine are selling cookies for a school fundraiser. They start selling on the same day.
• Peters starts with 300 boxes of cookies and sells them at an average of 15 boxes per day.
• The number of boxes of cookies, y, Catherine has left after x days is represented in the table shown.
x 0 1 2 3
y 300 250 200 150
Which statement is true?
Responses
A Peter’s average rate of boxes of cookies sold per day is higher than Catherine’s average rate.Peter’s average rate of boxes of cookies sold per day is higher than Catherine’s average rate.
B Catherine’s average rate of boxes of cookies sold per day is higher than Peter’s average rate.Catherine’s average rate of boxes of cookies sold per day is higher than Peter’s average rate.
C Catherine begins with more boxes of cookies than Peter. Catherine begins with more boxes of cookies than Peter.
D Peter begins with more boxes of cookies than Catherine.
For question 19, the master electrician earns $62 per hour and works 3 hours more than the apprentice. Let the number of hours the apprentice works be x, then the master electrician works x+3 hours.
Therefore, the total payment is $62(x+3) + $40x = $492.
Solving for x:
$62x + $186 + $40x = $492
$102x = $306
x = 3
So, the apprentice works 3 hours, and the master electrician works 6 hours.
The master electrician earns $62/hour * 6 hours = $372.
Therefore, the answer to question 19 is D. $372.
For question 21, Peter starts with 300 boxes of cookies and sells 15 boxes per day, while Catherine's remaining boxes after each day are given in the table provided.
Looking at the table, after 1 day, Catherine sells 50 boxes (300-250), after 2 days, she sells 50 boxes (250-200), and after 3 days, she sells 50 boxes (200-150). So, on average, Catherine sells 50 boxes of cookies per day.
Therefore, the correct statement is:
B. Catherine’s average rate of boxes of cookies sold per day is higher than Peter’s average rate.