Matchmaking Math Quiz

What is the main objective of the problem involving Henry, Eli, and Cornelius?

• To calculate the total money spent by all

• To identify who is married to whom

• To determine the number of animals each person bought

• To find out who spent the most money

What type of equation is used to solve the problem?

• Exponential equation

• Linear equation

• Diofantine equation

• Quadratic equation

Why are only integer solutions considered in this problem?

• Because it is a requirement of Diofantine equations

• Because it simplifies the calculations

• Because the problem specifies exact numbers

• Because fractions are not allowed in the auction

What is the significance of the equation x^2 - y^2 = 63 in the problem?

• It represents the total money spent by all

• It helps in identifying the number of animals bought

• It is used to determine the difference in spending between husbands and wives

• It calculates the total number of animals

How is the equation x^2 - y^2 = 63 factored?

• (x - y)(x + y)

• (x + y)(x - y)

• (x^2 + y^2)

• (x^2 - y^2)

What are the possible factorizations of 63 used in the problem?

• 63 * 1, 21 * 3, 9 * 7

• 63 * 2, 21 * 3, 9 * 8

• 63 * 1, 21 * 2, 9 * 7

• 63 * 1, 21 * 3, 8 * 7

Which pair of numbers represents a husband and wife in the first factorization?

• X = 8, Y = 1

• X = 12, Y = 9

• X = 21, Y = 3

• X = 32, Y = 31

In the second factorization, what is the value of X and Y?

• X = 9, Y = 7

• X = 8, Y = 1

• X = 12, Y = 9

• X = 21, Y = 3

Who is Henry married to based on the final deductions?

• Gertrude

• Katherine

• Anna

• Catherine

Which couple is identified as Eli and his wife?

• Eli and Gertrude

• Eli and Katherine

• Eli and Catherine

• Eli and Anna