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.

[tex]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[/tex]

[tex]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[/tex]

raphealnwobi raphealnwobi · Answer 2 · 2021-12-10T10:44:45+01:00

There was 10 onion rings and 5 chicken wings in the combination meal.

Let x represent the number of onion rings and y represent the number of chicken wings in the combination meal.

There are 5 more onion rings than chicken wings. Hence:

x = y + 5

x - y = 5 (1)

The combination meal has 775 total calories. Hence:

45x + 65y = 775 (2)

Solving equations 1 and 2 simultaneously gives:

x = 10, y = 5

There was 10 onion rings and 5 chicken wings in the combination meal.

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