Question 242659
At the Sweet Shop, one can buy 8 Pips for a dime, 4 Quips for a quarter, and 13
Rips for a nickel. How many Rips can be purchased for the same cost as what
one would pay for a total of 40 Pips and 40 Quips? 
:
Cost for a single item
p = {{{10/8}}} = {{{5/4}}}
q = {{{25/4}}}
r = {{{5/13}}}
:
Let r = no. of rips
:
{{{5/13}}}r = 40*{{{5/4}}} + 40*{{{25/4}}}
:
Cancel the 4's
{{{5/13}}}r = 10(5) + 10(25)
{{{5/13}}}r = 50 + 250
5r = 13(300)
5r = 3900
r = {{{3900/5}}}
r = 780 rips