Page 280 - Algebra 1

SOLUTION First, find the total amount of money that will be deducted. Then subtract the deductions from the gross earnings to determine that net pay.
28.07% · $1153.84 = d 0.2807 · $1153.84 = d $323.88 ≈ d
Now $323.88 of deductions is subtracted from the gross earnings. (gross earnings) - (deductions) = (net pay)
$1153.84 - $323.88 = $829.96
The amount that Ana receives in net pay is $829.96.
Check Use estimation. Since about 30% is deducted from about $1200, then she receives about 70% of $1200 in net pay. Use an equation to find 70% of $1200.
(0.70)($1200) = $840
$829.96 is a reasonable answer because $829.96 is about $840.
Hint
Gross earning is the amount of money earned by a worker before any deductions, like taxes, are taken out. Net pay is actual amount of money a worker receives after deductions.
Example
4
Application: Finances
Dominic earns $9.25 an hour working part-time. The circle graph shows how he divides his earnings. This month Dominic has worked a total of 54 hours.
Find the amount of Dominic’s earnings that will be put into savings this month.
Division of Earnings
10% Charity
Savings 40%
50% Personal Spending
SOLUTION Find the total amount that Dominic earned this month. Then find 40% of the total amount earned.
($9.25)(54) = $499.50 Multiply the rate by the hours.
Dominic earned $499.50 this month. Now find 40% of $499.50 to determine how much money will be put into savings. Set up a proportion to find the percentage.
Math Reasoning
Why is it necessary to determine the total amount earned first?
c = 40 __
Writeaproportion.
Cross multiply.
Divide both sides by 100. Solve for c.
$499.50 100
40 · $499.50 = 100c
$19,980 = 100c __
100 100 $199.80 = c
Dominic puts $199.80 into savings this month.
Lesson 42 265