You & your friends go to a mexican restaurant. U orders 2 tacos & 3 enchiladas & your friends orders 3 tacos & 5 enchilada! 1 bill was $7.50, & the other bill was $12.70. How much was each taco & each enchilada?

Question

Hazel Anglin · Accepted Answer

Price of each enchalida is #$2.90#, but each taco reduces it by #$0.60#.

As friend had ordered one taco and two enchalida more than me and has paid #$12.70-7.50=$5.20# more, this is the price of one taco and two enchalida. Hence doubling two tacos and four enchalida cost #2×5.20=$10.40#. But two tacos and three enchalida cost #7.50#. Hence price of one enchalida is #$10.40-$7.50=$2.90#. This means three enchalida cost #$2.90×3=$8.70# and as total price paid by me was just #$7.50#, reduction in price for two tacos is #$8.70-$7.50=$1.20# and price of one taco must be #$-1.20÷2=$-0.60# i.e. price of each taco is reduced by #$0.60#. Checking it for friend fivee enchalida cost #$2.90×5=$14.50# which is reduced by price of three tacos i.e. #$0.60×3=$1.80# and total price is #$14.50-1.80=$12.70#.

Eva Abramson · Answer

undefined Let's denote the cost of each taco as $ x $ and the cost of each enchilada as $ y $. From the information given, we can set up the following system of equations:

For the first bill:
$$ 2x + 3y = 7.50 $$

For the second bill:
$$ 3x + 5y = 12.70 $$

Now, we can solve this system of equations to find the values of $ x $ and $ y $.

You &amp; your friends go to a mexican restaurant. U orders 2 tacos &amp; 3 enchiladas &amp; your friends orders 3 tacos &amp; 5 enchilada! 1 bill was $7.50, &amp; the other bill was $12.70. How much was each taco &amp; each enchilada?

You & your friends go to a mexican restaurant. U orders 2 tacos & 3 enchiladas & your friends orders 3 tacos & 5 enchilada! 1 bill was $7.50, & the other bill was $12.70. How much was each taco & each enchilada?