SOLUTION: Bens grandfather was listening to the weather report which indicated that the maximum for the day was going to be 30C. He wants to know what the temperature is in F Using c/5 = (

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Question 917000: Bens grandfather was listening to the weather report which indicated that the maximum for the day was going to be 30C. He wants to know what the temperature is in F
Using c/5 = (f-32)/2
Someone had helped & had gotten
9/5(30)+32
54+32
f = 86
I just don't get how we get the 9/5
Help please?

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
There are two main temperature scales:
°F, the Fahrenheit Scale (used in the US), and
°C, the Celsius Scale (part of the Metric System, used in most other countries)
They both measure the same thing (temperature!), but use different numbers:

Boiling water (at normal pressure) measures 100° in Celsius, but 212° in Fahrenheit
And as water freezes it measures 0° in Celsius, but 32° in Fahrenheit.

The scales start at a different number (0 vs 32), so we will need to add or subtract 32.
The scales rise at a different rate (100 vs 180), so we will also need to multiply.
And so, to convert:
from Celsius to Fahrenheit: first multiply by 180%2F100, then add 32

from Fahrenheit to Celsius: first subtract 32, then multiply by 100%2F180+

But 180%2F100 can be simplified to 9%2F5,
and 100%2F180+can be simplified to 5%2F9, so this is the easiest way:

°C to °F multiply by 9, then divide by+5, then add 32
°F to °C deduct 32, then multiply by 5, then divide by 9

We can write each as a formula like this:

Celsius to Fahrenheit: %28C+%2A+9%2F5%29+%2B+32+=+F
Fahrenheit to Celsius: %28F+-32%29+%2A5%2F9+=+C
so, you got
%28F+-32%29+%2A5%2F9+=+30
%28F+-32%29+=+30%2A9%2F5
F+-32+=+270%2F5
F+-32+=+54
F++=+54%2B32
F++=+86