Answer:
it on web I had this question once
Step-by-step explanation:
put it in web and you be find
The amount that Sam get (the share of Sam) is £120
Suppose that we've got two quantities with measurements as 'a' and 'b'
Then, their ratio(ratio of a to b) a:b or [tex]\dfrac{a}{b}[/tex]
We usually cancel out the common factors from both the numerator and the denominator of the fraction we obtained. Numerator is the upper quantity in the fraction and denominator is the lower quantity in the fraction).
Suppose that we've got a = 6, and b= 4, then:
[tex]a:b = 6:2 = \dfrac{6}{2} = \dfrac{2 \times 3}{2 \times 1} = \dfrac{3}{1} = 3\\or\\a : b = 3 : 1 = 3/1 = 3[/tex]
Remember that the ratio should always be taken of quantities with same unit of measurement. Also, ratio is a unitless(no units) quantity.
Same thing happens for 3 quantities and more such quantities.
So if its given that Oli, Sam, and Tim's share (total £360) are in the ratio 3:2:1, that means some common factor (lets call it 'x') must be cancelled off as 3+2+1 don't equate to 360.
So, we have:
Their total evaluates to 360 (in euros).
(we don't write symbols like of currency generally, and understand it from context. Also, sign of multiplication is often hidden if there are non numeric symbols and numbers being multiplied are written together)
Thus, we get:
[tex]3x + 2x + x = 360\\(3+2+1)x = 360\\6x = 360\\\\\text{Dividing both the sides by 6}\\\\\dfrac{6x}{6} = \dfrac{360}{6}\\\\x = 60[/tex]
Thus, we get:
Thus, the amount that Sam get (the share of Sam) is £120
Learn more about ratio here:
brainly.com/question/186659
