Question 394611


A girl buys three apples {{{3x}}} and seven oranges{{{7y}}} for ${{{4.56}}}. 


If an orange {{{y}}}costs ${{{0.28}}} more than an apple{{{x}}}, how much does each fruit cost?

{{{3x + 7y = 4.56}}}

{{{y = x + 0.28}}}
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solve this system

{{{y = x + 0.28}}}......substitute in first equation

{{{3x + 7(x + 0.28) = 4.56}}}

{{{3x + 7x + 1.96= 4.56}}}

{{{10x  = 4.56 - 1.96}}}

{{{10x  = 2.6}}}

{{{x  = 2.6/10}}}

{{{x  = 0.26}}}.............apples

{{{y = 0.26 + 0.28=0.54}}}.........oranges