SOLUTION: Mark has 42 coins consisting of dimes and quarters. the total value of his coins is $6. How many of each type of coin does he have? show all your work and explain what method you u

Question 683734: Mark has 42 coins consisting of dimes and quarters. the total value of his coins is $6. How many of each type of coin does he have? show all your work and explain what method you used to solve the problem.
In advance I will like to say Thank you.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = number of dimes he has
Let = number of quarters he has
given:
(1)
(2) ( in cents )
----------------------
Multiply both sides of (1) by
and subtract (1) from (2)
(2)
(1)

and, since
(1)
(1)
(1)
he has 30 dimes and 12 quarters
check:
(2)
(2)
(2)
(2)
OK
RELATED QUESTIONS
mark has 42 coins consisting of dimes and quarters. the total value of his coins is $6.... (answered by lynnlo)

tom has 80 coins consisting of dimes and quarters. if the total value of his coins is... (answered by ewatrrr)

Mark has a total of 41 coins consisting of nickels and quarters the total value of the... (answered by josgarithmetic,greenestamps)

Mark has a total of 21 coins consisting of nickels and quarters. The total value of the... (answered by josgarithmetic,greenestamps)

jason has 15 coins in his pocket, consisting of nickels and dimes. the total value of the (answered by JBarnum)

Mark has 24 coins consisting of dimes and quarters. If the value of the coins is $4.50,... (answered by josgarithmetic)

Bubba has 20 American coins, all quarters (25 cent coins) and dimes (10 cent coins). If (answered by ikleyn)

A woman has 20 coins consisting of nickels and quarters. The total value is $3.80. How... (answered by mananth)

mr.chang has 30 coins consisting of dimes and quarters. the total value of the coins is... (answered by solver91311)