You can set up a proportion. The quick answer is 600
7.5/900 = 2.5/x
x = 900 * 2.5 / 7.5
x = 900 * (1/3)
x = 300
But that is not the answer. The question is what does she save.
900 - 300 = 600
You could get the answer more directly. She does not eat 5 oz cake, so solve for that.
5/x = 7.5/900 Cross multiply
5 * 900 = 7.5 x
4500 = 7.5x Divide by 7.5
4500/7.5 = x
600 = x
The step shown is an addition in which 10x is added to both sides of the equation. The property of equality is:
C. Addition Property of Equality
N% x 1.60 = 6 (I turned it from English to math)
Can't move n% back two places to make it a decimal so I will move the number I am multiplying by n% back two places instead.
Here is a sample to show you why it works. .34 x 57 = 34 x .57
So
.016n = 6 (.016 is 1.60 decimal moved back two places)
Now divide both sides by .016
<u>.016</u>n = <u>6
</u><u />.016 .016 n = 375%
Why is the percent over 100% you might ask?
What % of 1.60 is 1.60 (Answer - all of it or 100%)
So What % of 1.60 is 6 - the number 6 being much bigger than 1.60, it is not surprising that the percent is more than 100.
What % of 1.60 is 1.60 - 100%
What % of 1.60 is 3.20 - 200% (notice that 3.20 is twice 1.60)
What % of 1.6 is 4.80 - 300% (notice that 4.80 is three times 1.60)
What % of 1.6 is 6.40 - 400% (notice that 6.40 is four times 1.60)
6 (the number in the problem) is just a bit less than 6.40 so 375% makes a lot a sense.
Hope you found this helpful.
Step-by-step explanation:
T = 55 + 6w
after 8 week $103
A variable next to any number means to multiply, so we would do the inverse operation -- We would divide 0.48 by 0.6, which is 0.8. Therefore, W=0.48. To check your work, multiply 0.6 by 0.8, and what do you know? It's 0.48! :)
