Question 170680
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{{{N+Q=46coins}}} -----------------------------> EQN 1
Also, {{{0.05N+0.25Q=5.70}}} ------------------> EQN 2
In EQN 1 we get,
{{{Q=46-N}}} ----------------------------------> EQN 3
Subst. EQN 3 in EQN 2:
{{{0.05N+0.25(46-N)=5.70}}}
{{{0.05N+11.50-0.25N=5.70}}}
{{{11.50-5.70=0.25N-0.05N}}}
{{{5.80=0.20N}}} ----> {{{cross(5.80)29/cross(0.20)=cross(0.20)N/cross(0.20)}}}
{{{highlight(N=29)}}}, Number of Nickels
Fotr Quarters, go back EQN 3:
{{{Q=46-29=highlight(17=Q)}}}, Number of Quarters
In doubt? Go back EQN 2:
{{{0.05(29)+0.25(17)=5.70}}}
{{{1.45+4.25=5.70}}}
{{{5.70=5.70}}}
Thank you,
Jojo