Download Lesson 1.4 Piecework

Quiz– 10 Points + Bonus
Jeopardy Theme song
• Rick is an auto detailer and is paid $12.75 an hour. He
averages 35.25 hours per week of work. What is his
average straight time pay?
• Jim is working 35 hours this week and he is paid
$8.25 per hour. How much will Jim’s straight-time
pay be this week?
• Jordan is a broadcast technician and earns $17.00 an
hour with time and a half for overtime. Last week she
worked 40 hours plus overtime. If her total pay was
$839.38, how many hours of overtime did Jordan
work? Let H = overtime hours
Quiz - Solutions
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12.75 x 35.25 = 449.44
35 x 8.25 = 288.75
(17 x 40) + (17 x 1.5 x h) = 839.38
680 + 25.50h = 839.38
25.50h = 159.38
25.50h/25.50 = 159.38/ 25.50
h= 6.25 hours
Warm –up Problem
• 40 hours at 16.20 per hour
• 8 overtime hours
• Calculate regular straight time pay, overtime
pay, and total gross pay
• 40 x 16.20 = 648
• 16.20 x 1.5 x 8 = 194.40
• 648 + 194.40 = 842.40
Warm up Problem:
Algebra Concept for Life (PSSA) 
• Logical/mathematical learning:
– Write and Solve
– Total of 9 coins (dimes and nickels)worth .65 cents
– How many of each do you have?
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Let n = the number of nickels
Let 9-n = the number of dimes
.05n + .10(9-n) = .65
.05n +.90 - .10n = .65 (combine like terms)
-.05n = -.25 (divide both sides by -.05)
*n = 5
5 = nickels, 4 dimes
Lesson Objective
Compute total pay on a piecework basis.
Content Vocabulary
piecework
piecework
A worker receives a
specified amount of money
for each item of work
completed.
Mr. P’s Story on Piecework
Dylan works for National Cabinet Company. He is paid
$15.00 for each cabinet he assembles. Last week he
assembled 45 cabinets. This week he assembled 42.
What is his pay for each week?
• $___15.00_______ x __42____ = $____630______
• $____15.00____ x __45____ = $___675_____
The Sunscreen Company sells and installs window film for
automobiles. Sara Miller manages one Sunscreen shop. She
reports that during the past week, her shop applied window film
to 19 autos. It charges $179.99 for a four-door sedan and
$149.99 for a two-door coupe. Sara reports that $3,209.81 in
total receipts had been collected. In that week, how many (a)
four-door sedans and (b) two-door coupes had been serviced?
• Formula: Total Pay = Rate per item x number of items
• ** When you have a total number, subtract to find the other
one***
• Let s = Number of four-door sedans serviced
• Let (19-s) = Number of two-door sedans serviced
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$179.99s (four doors) + $149.99 (19 – s) two doors = $3,209.81
Apply the distributive property:
$179.99s + $2,849.81 - $149.99s = $3,209.81
Combine like terms:
($179.99s - $149.99s) + $2,849.81 = $3,209.81
$30.00s + $2,849.81 = $3,209.81
- 2,849.81
-2,849.81
30.00S
= 360
30.00S
= 360
30.00
30.00
S
= 12
Are we done yet?
• S= 12
• How many 4 door sedans = 12
• How many 2 door sedans = 7
• Total 19
Concept Check
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Complete Problems 3 on page 107
Let m = machine fed, 80 – m = handheld
#3 (.08 x m) + [(.20 x (80-m)]= 13.00
.08m + (16 - .20m) = 13.00
-.12m = -3.00
m = 25 (machine fed)
80 –m = 55 (handheld)
Closure
• Study Tip:
• If you are solving for two items and you know
the total, just make one a variable and then
subtract the variable from the total to identify
the second number.
• 100 Cars ( two shades)
• S = one color, 100 – S = the other color
Homework
• Complete problems 15, 18, 19, 20, on page
108
• 15) 197.55
• 18) 241.11
• 19) 2313.25
• 20) 5 watch bands
Solutions Number 19
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35 Oil Changes @ 33.95 + tune ups
5 x 72.50 +
7 x 82.50 +
2 x 92.50
= 2313.25
Solution Problem 20
• 24.60 x B > 122.50
• Divide both sides by 24.60
• B = 4.9 would need to do 5 bands