Question

A bottle of salon shampoo costs twenty-five dollars for twenty ounces. What is the unit price of the shampoo?

eighty cents per bottle

one dollar and twenty-five cents per ounce

zero point eight zero ounces per dollar

one point two five ounces per bottle

Answer 1

Unit price is the cost per unit. If you pay $25 and get 20 oz, how much do you pay for each ounce? Some of the answers are clearly ridiculous choices. One of them is a number you might get if you set the problem up incorrectly.

Answer 2

$1.25

Answer 3

right @whpalmer4 ?

Answer 4

$1.25 per ounce, not just $1.25.

Answer 5

ok.

Answer 6

can you help me on more questions?

Answer 7

It's a fraction:
\[\frac{$25}{20 oz} = \frac{25}{20} $/oz = $1.25/oz\]

Sure, ask away...

Answer 8

Estimate which benchmark percentage is closest to nine-seventeenths.

twenty-five percent

fifty percent

seventy-five percent

one hundred percent

Answer 9

\[\frac{9}{17} =\]

Let's look at our benchmarks:
\[25\% = \frac{25}{100}\]\[50\%=\frac{50}{100}\]\[75\%=\frac{75}{100}\]\[100\%=\frac{100}{100}\]

Answer 10

25%

Answer 11

What do you have to multiply 17 by to get 100? We're estimating, so let's make the arithmetic easier by rounding up to 20.

Answer 12

20 times what gives you 100?

Answer 13

20 times 5

Answer 14

Okay, good! So, if we multiply the top and the bottom of the fraction by the same number, we don't change its value, right? We're just multiplying by 1, written differently. What do we get if we multiply \[\frac{9}{17}\]by 5 on both top and bottom?

Answer 15

Make it easier: multiply 9/20 top and bottom...

Answer 16

that gives us \[\frac{45}{100}\] right? Which of our benchmark percentages is that closest to?

Answer 17

50%

Answer 18

Right! As it turns out, 9/17 = 0.5294... so that's the answer we want.

Here's a different way we could have gotten there, given that we had choices and simply had to select one.

9/17 let's try 25%:
0.25*17 = 4.25 Nope, that's too small, we want something around 9

let's try 75%
0.75*17 = 12.25 nope, that's too big, we want something around 9

let's try 50%
0.50*17 = 8.5 that's pretty close! 9/17 must be about 50%.

Answer 19

OK I need these last 11 real fast cause I'm going to have to go in like 5 minutes so please help really fast. :)

Answer 20

Another way to roll: all of those benchmark percentages are fractions:

25 % = 1/4
50 % = 2/4 = 1/2
75 % = 3/4
100 % = 4/4

How could we change 9/17 to make it close to one of those fractions? Well, how about adding 1 to the denominator, giving us 9/18? That reduces easily to 1/2, so 50% is our benchmark estimate again.

Answer 21

Estimate by rounding to the nearest half.

four and one-seventh plus five and five-eighths minus two and one-ninth
Answer choices:

6

six and one-half

7

seven and one-half

Answer 22

4 1/7 - nearest half is 4, right?
5 5/8 - nearest half is 5 1/2, right?
2 1/9 - nearest half is 2, right?
4 + 5 1/2 - 2 = ?

Answer 23

7

Answer 24

7 and a half!

Answer 25

Yes! (to 7 1/2)

Answer 26

Marlo receives a ten percent bonus on a salary of forty-five thousand dollars. What is his bonus?

two hundred twenty-two dollars

four hundred fifty dollars

two thousand two hundred dollars

four thousand five hundred dollars

Answer 27

10% = 10/100. What is 10/100 * $45,000?

Answer 28

1,000

Answer 29

No. That isn't one of the answer choices, not even one of the wrong ones :-)

Answer 30

2,200?

Answer 31

What is 45,000 * 10?

Answer 32

Multiply or divide by a power of 10 just changes the decimal point, the digits don't change...

Answer 33

Come on. If you had $5 and I offered to take your $5 and give you 10 times as much money, how much would I have to give you?

Answer 34

55

Answer 35

450..

Answer 36

Multiply by 10: write down your number, add another 0.

10*10 = 100
45*10 = 450
45,000*10 = 450,000

Divide by 100: write down your number, move the decimal point to the left 2 places.

1000/100 = 10.00
10000/100 = 100.00
450000/100 = 4500.00

(you misread my proposal slightly - I didn't offer to give you your money back, just 10 times as much as you had, so $50 was the right answer)

Answer 37

Another way of thinking of 10% is just that it is 1/10 of the amount. So if he got 10% on $45,000, that's just $45,000/10 = $4,500.

Answer 38

Robyn paid $18 for a 2-month movie club membership. What is the unit rate?

$6 per month

$9 per month

$18 per month

$20 per month

Answer 39

$18 paid, 2 months. How much per month?

Answer 40

(It cost me $19 to see a movie yesterday with my sweetie, not counting popcorn — I want to know where I sign up for this $18 for 2 months deal :-)

Answer 41

9dollars per month

Answer 42

Right!

Answer 43

Which is the simplified form of 6 to 2?

1 to 4

one-third

3 to 1

four colon one

Answer 44

I believe it's 1 over 3

Answer 45

No, have to keep them in the same order...if the big one came first, it has to be first in the simplified form, too

Answer 46

1 to 4?

Answer 47

\[\frac{6}{2}\]Are there any numbers that you could factor out of both top and bottom?