Question

Max went to the store and bought three types of apples: Red Delicious for $0.92, Granny Smith for $0.89, and Rome for $1.10. He bought twice as many Red Delicious apples as he did Granny Smith, and he bought one-third as many Rome as he did Red Delicious. How many of each type of apple did he buy if he bought a total of 22 apples? Max went to the store and bought three types of apples: Red Delicious for $0.92, Granny Smith for $0.89, and Rome for $1.10. He bought twice as many Red Delicious apples as he did Granny Smith, and he bought one-third as many Rome as he did Red Delicious. How many of each type of apple did he buy if he bought a total of 22 apples? @Mathematics

Answer 1

18 Red Delicious: 8 Granny Smith; 6 Rome

12 Red Delicious; 6 Granny Smith; 4 Rome

10 Red Delicious; 5 Granny Smith; 7 Rome

14 Red Delicious; 7 Granny Smith; 3 Rome

Answer 2

Three types of apples:
RD
GS
R

Answer 3

He bough twice as many RD as GS.
So, RD = 2*GS

He bought one-third as many R as he did RD.
So, R = 1/3 * RD

He bought a total of 22 Apples.
So, R + RD + GS = 22.

Substitute the first two pieces of information in terms of RD into the 3rd. You get:
1/3*RD + 1/2*RD + RD = 22
=> 11/6 * RD = 22
=> RD = 22*6/11 = 12

=> GS = 6
=> R = 4