An expression to represent a decimal between 1 and 10 multiplied by ten. basically to write larger numbers with less digits.
ex . 100 = 1 x 10^2
ex. 4321= 4.321 x 10^3
This is a typical mixture problem where using a table is the best thing.
pints juice % juice = total % juice
juice A x .70 = .70x
juice B 60-x .95 = .95(60-x)
total 60 .75 = 60(.75)
The last row gives you a total that you need to use, so do that multiplication to get 45. You now to need to add the last columns together for rows 1 and 2 and set them equal to 45: .7x +.95(60-x) = 45. When you do that math, you'll get that x = 48. This means that you need 48 pints of juice A and 60-48 pints of juice B, which is 12 pints.
Answer:
all work is pictured and shown
if Joyce saved $70
at 75% off, Joyce saved 25%
so, $70 is 25%
To find the total price which is 100%, multiply $70 by 4 ( because 25% x 4 = 100% )
so the original price is $70 x 4 = $280
In order to solve this problem, we need to set up a proportion. I am setting the amount of calories in 10 ounces of grape juice equal to x.

We begin to solve this by cross multiplying.
8x = 1,100
To finish the problem, we divide both sides by 8.
x = 137.5, so the 10 ounce glass of grape juice will have 137.5 calories.