Question 1184922
a= apples b=oranges
{{{(3/5)b=a}}}
{{{a-6=(3/4)(b-26)}}}
You have what a equals so replace a in 2nd equation
{{{(3/5)b-6=(3/4)(b-26)}}}
Now we start solving for b
Go ahead and do the reciprocal of 3/4 so times by 4/3 to each side
{{{(4/3)(3/5)b-(4/3)(6)=b-26}}} left side 3s cancel and the 6 becomes a 2
{{{(4/5)b-8= b-26}}} lets get rid of the 26 to isolate one variable add 26 to each side.
{{{(4/5)b+18=b}}} lets get rid of the other fraction so multiply both sides by 5
{{{4b+90=5b}}} subtract 4b from both sides
{{{90=b}}} now take this value and put in the first equation
{{{(3/5)b=a}}}
{{{(3/5)(90)=a}}} the 90 can be reduced by the 5 to 18 (18*5=90) and (3*18=54)
{{{54=a}}}
54 apples 90 oranges
Total of 144 fruits