Question

A fruit market sells mangoes and apricots in the ratio 3:2.
If their sales of mangoes and apricots combined came to 35, how many apricots did they sell?

Answer 1

Answer:

21:14

Step-by-step explanation:

let the number of mangoes be 3x

so, the number of apricots is 2x

so, 2x+3x=5x=35

x=35/5=7

no. of mangoes is 3x=21

no. of apricots is 2x=14

Answer 2

$\bf \underline{ \underline{\maltese\:Given} }$

$\sf A \: fruit \: market \: sells \: mangoes \: and \: apricots \: in the \: ratio \: 3:2$

$\sf Their \: sales \: of \: mangoes \: and \: apricots \: combined \: came \: to \: 35$

$\bf \underline{ \underline{\maltese\:To \: find } }$

$\sf Total \: number \: of \: apricots \: did \: they \: sell = \: ?$

$\bf \underline{ \underline{\maltese \: Solution } }$

$\sf Let \: us \: assume \: that,$

$\sf \implies Number \: of \: mangoes \: be \: 3x$

$\sf \implies Number \: of \: apricots \: be \: 2x$

$\sf According \: to \: question,$

$\sf \implies 3x + 2x = 35$

$\sf \implies 5x = 35$

$\sf \implies x = \cancel \dfrac{35}{5}$

$\sf \implies x =7$

$\bf \underline{Therefore},$

$\sf \implies Number \: of \: apricots \: ( 2x) = \bf2 \times 7 = 14$

$\sf \implies Number \: of \: mangoes \: (3x) =\bf3\times 7 = 21$

$\quad$━━━━━━━━━━━━━━━━━━━━━━━

$\bf \underline{ \underline{\maltese\: Varification } }$

To verify the answer just add all the apricots and mangoes. If the sum is equal to 35, then it means the answer is correct.

$\sf \implies 14 + 21 = 35$

$\sf \implies 35 = 35$

LCM and RHS are equal..

$\bold{\longrightarrow} \: \large{\tt \red{ Hence\: Verified \:!}}$