Alice and Bob share an allotment. The ratio of the area of Alice's portion to the area of Bob's portion is 3:2. They each grow
vegetables and fruit on the allotment. The entire allotment is
covered by vegetables and fruit in the ratio 7:3. On Alice's
portion of the allotment, the ratio of vegetables to fruit is 4:1
What is the ratio of vegetables to fruit in Bob's portion?

Step-by-step explanation:

Bob's portion of the allotment :

Alice's portion :

Vegetables are :

of the total area

Vegetables are :

of Alice's portion, or:

Bob's portion fraction (b):

L.C.M of 25 and 10 =50

Bob's vegetable to fruit ratio is 11 : 39

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