Question

we have 74 cake.Each box can hold 6 cakes only.how many boxes we need to pack and how many cakes are unpacked?​

Answer 1

ANSWER

Given

Total no: of cakes = 74

No: of cakes per box = 6

$\bold{No: \ of \ boxes \ required = \dfrac{Total \ no: \ of \ cakes}{No: \ of \ cakes \ per \ box}}}}}$

$= \dfrac{74}{6}$

$= 12.3$

Therefore, the total no: of boxes needed is 12.

∵ 12 * 6 = 72, and 74 - 72 = 2

=> 2 cakes remain unpacked.

                                                             

Answer 2

$\large \underline{\underline{\rm{ \bull \:Solution : - }}}$

$\overline{\rule{ 200pt}{2pt}}$

➻ Information provided with us :

$\rm{ \mapsto \: Total \: number \: of \: cakes \: = 74 \: cakes }$

$\rm{ \mapsto \: One \: box \: contains\: 6\: cakes }$

$\overline{\rule{ 200pt}{2pt}}$

➻ What we have to find out :

$\rm \mapsto {The \: number \: of \: required \: boxes }$

$\rm \mapsto {The \: number \: of \: cakes \: unpacked }$

$\overline{\rule{ 200pt}{2pt}}$

$\large \underline{\underline{\rm{ \bull \: Step \: by \: step \: solution : - }}}$

$\large \underline{\underline{\rm{ \bull \: Step \:1: - }}}$

➻ In order to find numbers of box needed we have to use Following formula :-

➻Formula used:

$\rm \bigstar{Total \: number \: of \: boxes \: needed }$

$\rm \implies{\dfrac{{ The \: \: total \: numbers \: of \: cakes }}{Capacity \: of \: each \: box } }$

➻ Put the given values in this formula and solve

$\overline{\rule{ 200pt}{2pt}}$

$\rm \therefore{Total \: number \: of \: required \: boxes}$

$\rm \longrightarrow{\dfrac{{ 74 }}{6 } }$

$\rm \longrightarrow{12.333.. }$

➻ But We can write it as

$\bf \longrightarrow{12}$

$\overline{\rule{ 200pt}{2pt}}$

$\large \underline{\underline{\rm{ \bull \: Step \:2: - }}}$

➻ Now we have to find the required Numbers of cakes unpacked

$\overline{\rule{ 200pt}{2pt}}$

➻ Refer the attachment to know how required answer comes

$\rm \therefore {The \: number \: of \: cakes \: unpacked }$

$\bf \longrightarrow{2}$

$\overline{\rule{ 200pt}{2pt}}$

$\large \underline{\underline{\rm{ \bull \: Final \: Answers- }}}$

$\huge\bf \mapsto{12}$

$\huge\bf \mapsto{2}$

$\overline{\rule{ 200pt}{2pt}}$

$\large \underline{\underline{\rm{ \bull \: Verfication \: - }}}$

$\rm \bigstar \: By \: using \: Euclid’s \: Division \: Lemma \:$

$\rm \implies \: a = \: bq + r \: where \: 0 \leqslant r \leqslant b.$

➻ Where

• ➡a = Dividend

• ➡b = Divisor

• ➡q = Quotient

• ➡r = Remainder

$\rm \implies \: Dividend = (Divisor \times Quotient) + Remainder$

➻ Substitute the values in given formula.

$\rm \implies \: 74 = (6 \times 12) + 2$

$\rm \implies \: 74 = 72 + 2$

$\rm \implies \: 74 =74$

$\rm \implies \: L.H.S =R.H.S$

$\bf \underline{ \star \: Hence \: Verified }$