WORD PROBLEMS - PERCENTS. George made 12 out of 20 free throws at basketball practice. What percent...
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Transcript of WORD PROBLEMS - PERCENTS. George made 12 out of 20 free throws at basketball practice. What percent...
WORD PROBLEMS - PERCENTS
George made 12 out of 20 free throws at basketball practice. What percent did he miss?
• If he MADE 12/20, how many did he MISS?
Now set up the % proportion then solve.
8
208
20 100
x
20x 800
40%x He missed 40% of his free throws.
1.
Vanessa made 40 out of 50 free throws at basketball practice. What percent did she miss?
• If she MADE 40/50, how many did he MISS?
Now set up the % proportion then solve.
10
5010
50 100
x
50x 1000
20%x She missed 20% of her free throws
2.
Ex. 2
Laura is a salesperson in a retail store and earns $32 per week plus 16% of her weekly sales. If Laura made $256 one week, what were her sales that week?
32 + .16s = 256
-32 -32
.16s = 224
.16 .16
s = 1400
• First – Translate the sentence.
• Then – Solve for s.
Laura’s sales for the week were $1400
3.
Kate is a salesperson in a retail store and earns $44 per week plus 11% of her weekly sales. If Kate made $220 one week, what were her sales that week?
44 + .11s = 220
-44 -44
.11s = 176
.11 .11
s = 1600
• First – Translate the sentence.
• Then – Solve for s.
Kate’s sales for the week were $1600
4.
Ex. 4
The sales tax rate in a certain state is 5%. Find the total price paid for a pair of shoes that costs $39.
5% of 39 is ? • First calculate the amount of tax to be paid.5
39 100
x
100x 1951.95x
This is the TAX, nowADD it to the purchase.
$39 $1.95$40.95
5.
The sales tax rate in a certain state is 5%. Find the total price paid for a pair of shoes that costs $45.
5% of 45 is ? • First calculate the amount of tax to be paid.5
45 100
x
100x 2252.25x
This is the TAX, nowADD it to the purchase.
$45 $2.25$47.25
6.
Sarah works in an appliance store. She gets a commission in addition to her hourly pay. She earns a 5% commission for sales up to $5000 and a 8% commission for all sales in a month above $5000. Last month her sales were $6400. How much was her commission?
• First calculate her commission for the first $5000.
• Next, calculate her commission for the remaining $1400.
• Add the two amounts together.
7.
6400 5000 1400 (.05)(5000) 250(.08)(1400) 112
250 112 362 Her commission was $362.
Jacob works in an appliance store. He gets a commission in addition to his hourly pay. He earns a 3% commission for sales up to $4000 and a 7% commission for all sales in a month above $4000. Last month his sales were $5200. How much was his commission?
• First calculate her commission for the first $4000.
• Next, calculate her commission for the remaining $1200.
• Add the two amounts together.
8.
5200 4000 1200 (.03)(4000) 120(.07)(1200) 84
120 84 204 His commission was $204.