
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Eight students participate in a fruit eating contest, where they choose between apples and bananas. The graph shows the number of apples eaten by four students (Sam, Zoe, Mark, Anne) and the number of bananas eaten by another four students (Lily, John, Beth, Chris). In the apple contest, Sam ate the most apples and Mark ate the fewest. In the banana contest, Lily ate the most and Beth ate the fewest. Determine how many more apples than Mark did Sam eat, and how many more bananas than Beth did Lily eat?

[asy]
defaultpen(linewidth(1pt)+fontsize(10pt));
pair[] yaxis = new pair[8];
for( int i = 0 ; i < 8 ; ++i ){
    yaxis[i] = (0,i);
    draw(yaxis[i]--yaxis[i]+(17,0));
}
draw((0,0)--(0,7));
draw((17,7)--(17,0));

// Apples
fill((1,0)--(1,5)--(2,5)--(2,0)--cycle,yellow);
fill((3,0)--(3,2)--(4,2)--(4,0)--cycle,yellow);
fill((5,0)--(5,3)--(6,3)--(6,0)--cycle,yellow);
fill((7,0)--(7,1)--(8,1)--(8,0)--cycle,yellow);

// Bananas
fill((9,0)--(9,2)--(10,2)--(10,0)--cycle,orange);
fill((11,0)--(11,4)--(12,4)--(12,0)--cycle,orange);
fill((13,0)--(13,6)--(14,6)--(14,0)--cycle,orange);
fill((15,0)--(15,1)--(16,1)--(16,0)--cycle,orange);

label("0",yaxis[0],W);
label("1",yaxis[1],W);
label("2",yaxis[2],W);
label("3",yaxis[3],W);
label("4",yaxis[4],W);
label("5",yaxis[5],W);
label("6",yaxis[6],W);
label("7",yaxis[7],W);
label("Students (Apples/Bananas) ",(8.5,0),S);
label("Results of a Fruit Eating Contest",(8.5,7),N);
label(rotate(90)*"$\#$ of Fruits Eaten",(-1,3.5),W);
[/asy]

Present the answer in LaTex format: \boxed{Your answer}
user