The way to work out how much each person gets is to find out how much one part is worth.
We can do this by adding the ratio (1:2) which gives us 3.
Divide £120 by 3 parts and you get £40 as one part.
Because the ratio is one part : two parts, Matt gets £40 and Cat gets £80.
This is a common factor problem.
Pencils come in a pack of 12
Erasers come in a pack of 10
First, break the number into their prime factors(the idea is that we will break the number down into its smallest multiples, which are prime numbers):
10 = 2 * 5
12 = 2 * 2 *3
So now we take the unique multiples of each number, and when we multiply them together, we will get the smallest number that both 10 and 12 can be divided into(this is what the problem is asking for)
We have (2*2*3) that comes from 12, and the only unique number that comes from the 10 is (5)
So now, we multiply:
2*2*3*5=60
However, this isn't exactly out answer. Now we have to divide our answer by the number of each this in the pack to know how many packs to buy.
60/12=5 packs of pencils
60/10= 6 packs of erasers
I hope this helps. Let me know if you have any questions!!
Answer:
114.24°
Step-by-step explanation:
7(15)+6= 105
3(15)= 45, now we plug it in the formula, 
so now we square root it
= 114.24
