Question

➽ Sᴏʟᴠᴇ ᴛʜɪs ⟰

Iᴍᴀɢᴇ ᴀᴛᴛᴀᴄʜᴇᴅ...☚
:D​

Answer 1

${\underline{\underline{\sf{Let's \: do \: it \: step \: by \: step :}}}}$

Here we have cones, white cream and pink colored cream.

_________( 1 )

In line 1, it is given that all three cones are multiplied to get 27. If we consider that all three cones are equal then we can take number of cones as x. So, all three cones will be multiplied get the value of x. Here ,value of cone will be :-

${\sf{\longmapsto{x \times x \times x = 27}}} \\ {\sf{\longmapsto{ {x}^{3} = 27}}} \\ \sf{\longmapsto{ x = \sqrt[3]{27} }} \\ \boxed {\sf{\longmapsto{ x = 3}}}$

So, by this we can say that value of each cone will be 3.

_________( 2 )

In line 2 cream is additionally added to cone but as already we have found that value of each cone is 3. If we consider that both white cream are equal, then we can the value of cream also. But, here we have to also saw that their total sum will be 10 only. Value of each white cream will be as considering that value of white cream is x.

${\sf{\longmapsto{ Sum \: of \: the \: value \: of \: cones + Sum \: of \: the \: both \: white \: cream}}}$

${ \sf{ \longmapsto{3 + 3 + y + y= 10}}} \\ { \sf{ \longmapsto{6 + 2y= 10}}} \\ { \sf{ \longmapsto{2y = 10 - 6}}} \\ { \sf{ \longmapsto{2y = 4}}} \\ { \sf{ \longmapsto{y = \cfrac{4}{2} }}} \\ { \boxed{ \sf{ \longmapsto{y = 2}}} }$

So, by this we can say that value of each white cream is 2.

_________( 3 )

In line 3, their are two cones, two white cream and one pink cream is given. Also, it is given that their sum is 11. As already we have got the value of cone and white cream. So, by taking a as pink cream, value of pink cream is :-

${\sf{\longmapsto{ Sum \: of \: cones + Sum \: of \: white \: cream + Pink \: cream = 11}}}$

${\sf{\longmapsto{3 + 3 + 2 + 2 + a = 11}}} \\ {\sf{\longmapsto{10 + a = 11}}} \\ {\sf{\longmapsto{a = 11 - 10}}} \\ { \boxed{\sf{\longmapsto{a = 1}}}}$

So, by this we can say that value of pink cream is 1.

_________( 4 )

At the end, in line 4. 3 cones are given, two white cream are given and 2 pink cream are given. Also their sum is 15. This line can be used for verifying the value. So, putting the values :-

${\sf{\longmapsto{ Sum \: of \: cones + Sum \: of \: white \: cream + Sum \: of \: pink \: cream = 15 }}}$

${\sf{\longmapsto{3 + 3 + 3 + 2 + 2 + 1 + 1 = 15}}} \\ {\sf{\longmapsto{9 + 4 + 2 = 15}}} \\ {\sf{\longmapsto{15 = 15}}}$

Hence, proved that our all values are correct.

______________________________

● All values of given diagram are :-

${\large{\underline{\boxed{\sf{\red{Value \: of \: cone = 3 }}}}}} \\ \\ {\large{\underline{\boxed{\sf{\red{Value \: of \: white \: cream= 2 }}}}}} \\ \\ {\large{\underline{\boxed{\sf{\red{Value \: of \: pink \: cream = 1}}}}}}$

Answer 2

Answer:

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