A purse contains $57$ coins, all of which are nickels, dimes, or quarters. If the purse contains $x$ dimes and $8$

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VJesus12: Legendary Member; Posts: 2276; Joined: Sat Oct 14, 2017 6:10 amFollowed by: 3 members

by VJesus12 » Mon Sep 21, 2020 6:54 am

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A purse contains $57$ coins, all of which are nickels, dimes, or quarters. If the purse contains $x$ dimes and $8$ more nickels than dimes, which of the following gives the number of quarters the purse contains in terms of $x?$

A. $2x - 49$
B. $2x + 49$
C. $2x - 65$
D. $49 - 2x$
E. $65 - 2x$

Answer: D

Source: Official Guide

Source: Beat The GMAT — Problem Solving | Mon Sep 21, 2020 6:54 am

DHRJ007: Senior | Next Rank: 100 Posts; Posts: 31; Joined: Thu Sep 17, 2020 9:27 amFollowed by: 1 member

Re: A purse contains $57$ coins, all of which are nickels, dimes, or quarters. If the purse contains $x$ dimes and \

by DHRJ007 » Mon Sep 21, 2020 7:50 am

no of quarters =57-(x+8+x)
so Q=49-2x

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