Question

fill in the blanks with the correct amount of ingredients needed to make the reactions equal on both sides
10 bread + 5 ham + 5 cheese → 5 sandwich
1 sandwich = 2 pieces of bread, 1 slice of cheese, 1 piece of ham
blank egg → 2 egg white + # egg shell + # fried egg
2 marshmallow + 4 gram cracker + 2 chocolate bar → 2 smores
1 smores = 1 marshmallow, 2 gram crackers, 1 chocolate bar

boy - girl pair + # girl - girl pair → # boy - girl pair + # girl + # boy - girl pair + # girl

Explanation:

Step1: Analyze Sandwich Reaction

1 sandwich needs 2 bread, 1 ham, 1 cheese. For 5 sandwiches: bread needed \( 5\times2 = 10 \), ham \( 5\times1 = 5 \), cheese \( 5\times1 = 5 \), which matches given numbers.

Step2: Analyze Egg Reaction

Assume 1 egg gives 1 shell and 1 fried egg. If 2 shells, then eggs needed \( 2 \), so shells \( 2 \), fried eggs \( 2 \).

Step3: Analyze S'mores Reaction

1 s'more: 1 marshmallow, 2 crackers, 1 chocolate. For 2 s'mores: marshmallows \( 2\times1 = 2 \), crackers \( 2\times2 = 4 \), chocolate \( 2\times1 = 2 \), matches given.

Step4: Analyze Kids Reaction

Let first group (boy+girl) be A, second (2 girls) be B, third (boy+girl) be C, fourth (girl) be D. Let \( x \) A, \( y \) B, \( z \) C, \( w \) D. Assume conservation (same total kids). Let \( x = 1 \), \( y = 1 \), then total kids: \( 2 + 2 = 4 \). So \( z = 1 \), \( w = 1 \) (since \( 2 + 2 = 2 + 2 \)).

Answer:

• Egg row: 2 (eggs), 2 (shells), 2 (fried eggs)
• Kids row: 1 (first #), 1 (second #), 1 (third #), 1 (fourth #)

(Note: For egg reaction, assuming 1 egg → 1 shell + 1 fried egg, so 2 eggs → 2 shells + 2 fried eggs. For kids, balancing the groups.)