Question 541733
<br><font face="Tahoma">Let b stand for burritos and t stand for tacos.<br>

The we have:<br>

{{{2b+5t=19.50}}}  and  {{{5b+2t=22.50}}}<br>

Then you could use the elimination method or the substitution method to solve this system of equations.<br>

I would go with the elimination method, multiplying the 1st equation by 5, and the second equation by 2.<br>

This will allow you to eliminate either the b or the t variable.<br>

{{{10b+25t=97.5}}}  and  {{{10b+4t=45}}}<br>

Subract the second equation from the first an you end up with:<br>

{{{21t=52.5}}}<br>

Thus {{{t=2.50}}}<br>

I will leave it up to you to solve for b by substituting the value for t back into either original equation.<br>

I hope this helps!<br>