Question 1121179

roxanne has P4.65 in 5 cents and 25 cents. The number of 25 cents coins is 1 more than twice the number of nickels (5 cents). How many quarters (25 cents) she has?
<pre>Let number of nickels and quarters be N and Q, respectively
We then get: .05N + .25Q = 4.65
                N + 5Q = 93 ------- Multiplying by 20 
                N = 93 - 5Q ------- eq (i)

Also, Q = 2N + 1 ------ eq (ii)
      Q = 2(93 - 5Q) + 1 ---- Substituting 93 - 5Q for N in eq (ii)
      Q = 186 - 10Q + 1
      Q + 10Q = 187
      Q, or number of quarters = {{{highlight_green(matrix(1,3, 187/11, "=", 17))}}}