Question 146119
Let {{{b}}}= price of books
Let {{{m}}}= price of magazines
{{{4b + 3m = 145}}}
{{{2b + 5m = 125}}}
(note prices are in cents)
multiply 2nd equation by {{{2}}} and subtract
{{{4b + 3m = 145}}}
{{{4b + 10m = 250}}}
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{{{7m = 105}}}
{{{m = 15}}}
{{{2b + 5m = 125}}}
{{{2b + 5*15 = 125}}}
{{{2b = 125 - 75}}}
{{{2b = 50}}}
{{{b= 25}}}
The books are 25 cent each and magazines are 15 cents each
check:
{{{4b + 3m = 145}}}
{{{4*25 + 3*15 = 145}}}
{{{100 + 45 = 145}}}
OK