Answer:
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Answer:
42 gallons 45% antifreeze
28 gallons 95% antifreeze
Step-by-step explanation:
If x is volume of 45% antifreeze, and y is volume of 95% antifreeze, then the total volume is:
x + y = 70
And the total amount of antifreeze is:
0.45 x + 0.95 y = 0.65 (70)
Solving by substitution:
0.45 x + 0.95 (70 − x) = 0.65 (70)
0.45 x + 66.5 − 0.95 x = 45.5
21 = 0.5 x
x = 42
y = 28
First, we can subtract the discount from the original price. Divide the discount (42%) over 100.
42/100 = 0.42
Next, we need to multiply. It's basically asking what 42% of 20 is.
0.42 × $20 = $8.40
Now, we know that we will have $8.40 on the CD because of the discount. We can subtract the saved amount from the original amount to get the price.
$20 - $8.40 = $11.60
You will pay $11.60 for the CD without taxes.
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Now to add the taxes.... To do this, do the same first step we did when finding the discount price.
6/100 = 0.06
Multiply. Like I said, you can think of it as, '6% of 11.60'.
0.06 × 11.60 = $0.70
Last step is to ADD. Since taxes add more money onto the current price, we will have to add.
$11.60 + $0.70 = $12.30
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The total price of the CD will be: $12.30.
Answer:
Step-by-step explanation:
What you are doing is removing the brackets. That shows up as multiplying both terms inside the brackets by the factor outside the brackets (2).
This is a classic example of the distributive property.
