Question

At a particular restaurant, each onion ring has 45 calories and each chicken wing has 65 calories. A combination meal with onion rings and chicken wings is shown to have 775 total calories and 5 more onion rings than chicken wings. Determine the number of onion rings in the combination meal and the number of chicken wings in the combination meal.

Answer 1

Answer:

$Number\ of\ chicken\ rings=5\\\\Number\ of\ onion\ rings=10$

Step-by-step explanation:

$Let\ number\ of\ chicken\ rings=x\\\\Number\ of\ onion\ rings=Number\ of\ chicken\ rings+5=x+5$

Calories:

$Calories\ in\ 1\ chicken\ ring=45\\\\Total\ calories\ because\ of\ onion\ ring=45\times Number\ of\ onion\ ring\\\\Total\ calories\ because\ of\ onion\ ring=45\times(x+5)=45x+225\\\\Calories\ in\ 1\ onion\ ring=65\\\\Total\ calories\ because\ of\ chicken\ ring=65\times Number\ of\ chicken\ ring\\\\Total\ calories\ because\ of\ chicken\ ring=65x\\\\Total\ calories=Calories\ because\ of\ onion\ ring+Calories\ because\ of\ chicken\ ring\\\\Total\ calories=45x+225+65x\\\\Tota\ calories=110x+225$

$Given\ total\ calories=775\\\\110x+225=775\\\\110x=775-225\\\\110x=550\\\\x=5\\\\Number\ of\ chicken\ rings=5\\\\Number\ of\ onion\ rings=5+5=10$