Question 1173102
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The suggested solution method shown by the other tutor will not lead to a correct answer, since it contains a simple arithmetic error.<br>
{{{6c + 3s = 8.40}}}  Manuel bought 6 candy bars and 3 sodas for $8.40
{{{3c + 4s = 7.45}}}  Gary bought 3 candy bars and 4 sodas for $7.45<br>
{{{6c + 8s = $14.90}}}  some third person bought exactly twice as much as Gary, so paid exactly twice as much<br>
{{{5s = 6.50}}}  The difference between the first and third purchases is 5 more sodas, for a difference of $6.50<br>
{{{s = 6.50/5 = 1.30}}}  The cost of each soda is $1.30<br>
{{{6c + 3(1.30) = 8.40}}}  Using Manuel's purchase and the now known cost of each soda to determine the cost of each candy bar
{{{6c + 3.90 = 8.40}}}
{{{6c = 4.50}}}
{{{c = 4.50/6 = 0.75}}}<br>
ANSWERS: Each soda costs $1.30; each candy bar costs $0.75<br>