ShmoopTube
Where Monty Python meets your 10th grade teacher.
Search Thousands of Shmoop Videos
Algebra and Functions Videos 140 videos
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...
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...
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?
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...
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...