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Description:

SAT Math 1.3 Algebra and Functions. How many 16 oz. bottles did she buy?

Language:
English Language

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.

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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