An object is placed $49\mathrm{.}4$ cm from a first converging lens of focal length $12\mathrm{.}5$ cm $.$ A second converging lens with focal length $5\mathrm{.}00$ cm is placed $20\mathrm{.}0$ cm to the right of the first converging lens.

$($a$)$ Find the position $q_1$ of the image formed by the first converging lens. $($Enter your answer to at least two decimal places.$)$

cm

$($b$)$ What is the value of $p_2,$ the object position for the second lens? $($Enter your answer to at least two decimal places.$)$

cm

$($c$)$ Find the position $q_2$ of the image formed by the second lens. $($Enter your answer to at least two decimal places.$)$

Your response differs from the correct answer by more than $10\%.$ Double check your calculations. cm

$($d$)$ Calculate the magnification of the first lens.

Your response differs from the correct answer by more than $100\%.$

$($e$)$ Calculate the magnification of the second lens.

Your response differs from the correct answer by more than $10\%.$ Double check your calculations.

$($f$)$ What is the total magnification for the system?

Your response differs from the correct answer by more than $10\%.$ Double check your calculations.

$($g$)$ Is the final image real or virtual?

$$ real

$$ virtual

$($h$)$Is it upright or inverted $($compared to the original object for the lens system$)?$

$$ upright

inverted