Richard spend \( {2\over 7}\)of his money on 4 bags and 4 pencil cases. The cost of a bag

is twice that of a pencil case. With \( {5 \over 6}\)of his remanining money, he bought more

pencil cases. How many pencil cases did he buy in all?

Guest Oct 19, 2021

#1**0 **

Richard spent **2/7 **of his money on 4 bags and 4 pencil cases. The cost of a bag

is twice that of a pencil case. With **5/6 **of his remaining money, he bought more

pencil cases. How many pencil cases did he buy in all?

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Cost of 4 pencil cases = 1/3(2/7) = 2/21 or **4/42**

Cost of "more pencil cases" = 5/6(5/7) = **25/42**

Proportion: (4/42) / 4 = (25/42) / x **x = 25**

**Richard bought 29 pencil cases.**

civonamzuk Oct 19, 2021