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SAT Math: Algebra and Functions Drill 1, Problem 2. Based on the data in the table, what is the maximum heart rate for the average 22-year-old?
SAT Math 1.3 Algebra and Functions. How many 16 oz. bottles did she buy?
SAT Math 1.3 Algebra and Functions 220 Views
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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.
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