Question

60 pens are divided between Tyson and Tucker in the ratio of 2:3, if the ratio is reversed to 3:2 then how many more pens does Tyson get?

Please answer

Answer 1

$\huge{\bf{\green{\mathfrak{Question:-}}}}$

• 60 pens are divided between Tyson and Tucker in the ratio of 2:3, if the ratio is reversed to 3:2 then how many more pens does Tyson get?

$\huge {\bf{\orange{\mathfrak{Answer:-}}}}$

• $\textsf{Total number of pens = 60.}$

• $\textsf{Pens are divided between Tyson and Tucker in the ratio 2:3.}$

• $\sf Sum \: of \: the \: Ratio \: = \: 2 \: + \: 3 \: = \: 5.$

• $\sf Tyson\: (pens)\: =$

• $\sf \dfrac{2}{5} \: * \: 60 \:= \: 2 \: * \: 12 \: = \: 24.$

• $\boxed{\sf Tyson \: gets \: 24 \: pens.}$

• $\sf Tucker \: (pens) \: =$

• $\sf \dfrac{3}{5} \: * \: 60 \:= \: 3 \: * \: 12 \: = \: 36.$

• $\boxed{\sf Tucker \: gets \: 36 \: pens.}$

• $\textsf{If the ratios are reversed then,}$

• $\textsf{Number of pens of Tucker will become Tyson and Tyson will become Tucker.}$

• $\textsf{After ratios are reversed, Tyson (pens) = 36 and Tucker (pens) = 24.}$

• $\textsf{Number of pens Tyson will get more =}$

• $\sf 36 \: - \: 24$

• $\boxed{\sf 12 \: pens.}$

$\huge{\bf{\red{\mathfrak{Conclusion:-}}}}$

• $\boxed{\therefore{\sf Tyson \: gets \: 12 \: more \: pens.}}$