Question

A restaurant sold iced tea, coffee, and soda during lunch.

• They sold 139 iced teas.

• They sold 45 more iced teas than coffees.

• They sold 37 more sodas than coffees.




How many sodas were sold during lunch?

Responses
A 131131
B 5757
C 8282
D 201

Answer 1

T = amount of teas sold

C = amount of coffees sold

S = amount of sodas sold.

`T=139 \\\\\\ T=C+45\qquad \textit{whatever C is, T is 45 more than that} \\\\\\ S=C+37\qquad \textit{whatever C is, S is 37 more than that} \\\\[-0.35em] ~\dotfill\\\\ T=C+45\implies T-45=C\implies 139-45=C\implies 94=C \\\\[-0.35em] ~\dotfill\\\\ S=C+37\implies S=94+37\implies \boxed{S=131}`