ShmoopTube
Where Monty Python meets your 10th grade teacher.
Search Thousands of Shmoop Videos
SAT Math 1.3 Algebra and Functions 220 Views
Share It!
Description:
SAT Math 1.3 Algebra and Functions. How many 16 oz. bottles did she buy?
Transcript
- 00:02
Time to get your Shmoop on.
- 00:05
A store sells 8 oz. bottles of water for $0.95 and 16 oz. bottles for $1.25.
- 00:11
Matilda bought 26 bottles of water and spent $27.70. How many 16 oz. bottles did she buy?
- 00:18
Here are your possible answers...
- 00:24
To solve this problem, we first need to set up an equation.
Full Transcript
- 00:27
We know Matilda bought some number of 8-ounce bottles….at $0.95
- 00:31
and some number of 16-ounce bottles at $1.25 each.
- 00:35
Since we know the TOTAL number of bottles that Matilda bought is 26,
- 00:39
we only need to use one variable x to represent the number of 8 oz and 16 oz bottles.
- 00:45
Let's label the number of 16 oz bottles as x...
- 00:47
then we can label the number of 8 oz bottles as 26 minus x.
- 00:51
We can also use the formula that cost per each bottle times number of bottles equals
- 00:56
total cost for the bottle to write our equation...
- 00:59
so we get 0.95(26 - x) for the total cost of 8 oz bottles
- 01:07
PLUS 1.25x for the total cost of 16 oz bottles...
- 01:12
EQUALS 27.70.
- 01:15
Distributing the .95... we get that 24.70 minus .95x plus 1.25x equals 27.70.
- 01:25
Adding like terms... negative .95x plus 1.25x gives us .3x...
- 01:32
subtract 24.70 from 27.70...and we get 3.
- 01:36
Divide .3 from both sides...and we get that x equals 10.
- 01:40
She bought 10 16 oz bottles! Answer's B.
Related Videos
SAT Math 10.1 Geometry and Measurement. How many cans of paint are needed?
Angela is making cookies for a bake sale. She expects each batch of her cookies to sell for $40. It costs her $10 to make one batch of cookies, and...
Liz leaves her home to drive on a straight highway that leads directly across town for a job interview. At 8:00 a.m., she has driven 5 miles from h...
Bruce runs at a pace of one mile per 10 minutes. If he pauses for a five-minute break at the end of each mile, how many miles can Bruce run in 1 ho...
In 2014, the unemployment rate of one county in California was 7%. In another county, the unemployment rate was 11%. Which of the following express...