Question

15. A person spent 564 in buying pens and
pencils if cost of each pen is 37 and each
pencil is 3 and if the total number of things
bought was 108, how many of each type did he buy?​

Answer 1

${\fbox{\boxed {\huge{\mathbb{\red{ANSWER:-}}}}}}$

Given:

• Cost of pens = Rs. 7
• Cost of pencils = Rs. 3

To Find

Number of pen he bought each type=??

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

$\rm{\Rightarrow{Let \: the \: number \: of \: pen = x}}\\ \rm{\Rightarrow</p><p>{and \: Number \: of \: pencil =108 - x }}\\ \rm{\Rightarrow</p><p>{Cost \: of \: pen \: = 7x }}\\ \rm{\Rightarrow</p><p>{Cost \: of \: pencil = 3(108 - x)}}$

$\underline {\underline{\Large{\bold{A.T.Q}}}}$

$\rm{\implies{7x + 3(108 - x) = 564}} \\ </p><p>\rm{\implies{7x + 3(108 - x) = 564}} \\ </p><p></p><p>\rm{\implies{4x + 324 = 564}} \\ </p><p>\rm{\implies{4x = 564 - 324}} \\ \rm{\implies{4x = 240}} \\</p><p>\rm{\implies{ \times = \frac{240}{4} }} \\ \therefore\rm \: x = \frac{ \cancel{240}}{ \cancel4} \\ \: \: \: \: \: \: \: \: \: \: \boxed{\rm{x = 60}}$

$\rightarrow{\rm{Number\: of\: pencil=108-60=48}}$

${\LARGE{\boxed {\rightarrow{\rm{Hence,\:48 \:pencils}}}}}$

$\boxed{\rm{\Rightarrow{Let \: the \: number \: of \: pen = 60}}}\\ \boxed{\rm{\Rightarrow</p><p>{and \: Number \: of \: pencil =40 }}}$

${\boxed{\huge{\blue{\mathcal{BeBrainly}}}}}</p><p>$