Question

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?

Answer 1

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

Explanation:

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`.