Amy and Ben share £21 between them in the ratio 5 : 2. How much does Amy get? (Im really sorry I just don't understand ratio.)

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Let us consider , there are 30 boys and 40 girls in a school. So, the ratio of number of boys to number of girls = and read as 3 is to 4. We can say , the ratio compares two of more quantities of same unit. Until two quantities have same units , it is meaningless to compare by ratio. So, to find the ratio of two quantities , it is necessary to express them in same unit or of same kind. Since , they are in division form. So ,ratio is unit less quantity. Thus , the ratio is a comparison of two quantities of the same kind in division which doesn't have any units. For example : is a ratio and is read as ' a is to b ' in which ' a : is antecedent and ' b ' is called consequent.

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£ 21 is to be divided between Amy and Ben in the ratio 5 : 2. So, let Amy get £ 5x and Ben get £ 2x.

Then , According to the question ,

Solve for x :

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The value of x is 3. Now , substitute the value of x in 5x :

Amy received £ 5x = 5 × 3 = £ 15 .

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answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204

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