Math, asked by harshal8532, 3 months ago

an ice cream Parlour has 40 ice cream cups in 4 flavours Orange mango chocolate and vanilla. there are twice as many mango cups as Orange cups. the number of chocolate cups is one less than the number of orange cup. the number of vanilla cups is 7 less than the number of mango cups. how many Vanilla cups are there?​


harshal8532: please answer the question in step
Anonymous: I think question is wrong...
Anonymous: I tried to solve it but answer is coming in decimals...
harshal8532: the question is correct

Answers

Answered by suhanijaiswal1301
1

Answer:

This can be solved using the strategy used in this post:

It comes down to calculating

(5+3−13)=(73)=7⋅6⋅51⋅2⋅3=35

What we are doing is the following: We create 5 'buckets' of flavors:

−−−|−−−|−−−|−−−|−−−

Now, we want do divide the three scoops over the 5 buckets. Below, a scoop is shown as O. Some possibilities are:

O|O|||O||OOO||etc...

There are 4 borders between the buckets and 3 scoops. Thus, there are (4+33)=35 possibilitigiving 5 possibilities. (all 3 have the same flavour)

3=2+1 giving 5×4=20 possibilities. (2 with the same flavour and 1 with another)

3=1+1+1 giving (53)=10 possibilities. (all 3 have different flavour)

Answered by SVTejasIAS7a3
1

Answer:

Vanilla cups = 9

Step-by-step explanation:

Let we keep Orange, Mango, Chocolate and Vanilla as O, M, C and V respectively.

So,

O = x

M = 2x

C = x-1

V = 2x-7

Total no. of cups = 40

Soln:

x + 2x + (x-1) + (2x-7) = 40

3x + (x-1) + (2x-7) = 40

3x + 3x - 8 = 40

6x = 40 + 8

6x = 48

x = 48/6

x = 8

Deriving answer,

O = x = 8

M = 2x = 2*8 = 16

C = x-1 = 8-1 = 7

V = 2x-7 = 2*8 - 7 = 9

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