Question

candidate | number of votes
sara | 48
matt | 33
joseph | 19
move the correct answer to each box. not all answers will be used, and some answers may be used more than once.
the number of votes for matt is twice the number of votes for joseph.
the number of votes for sara is twice the number of votes for joseph.
the number of votes for matt is half the votes for sara.
the number of votes for joseph is half the number of votes for sara.

Explanation:

Step1: Calculate twice Joseph's votes

Joseph has 19 votes, so twice that is $2\times19 = 38$.

Step2: Compare Matt's votes (33) with 38

33 < 38, so Matt's votes are not twice Joseph's (or we can say "less than" but for the blanks, we check the relationships). Wait, actually, let's re - evaluate:

For the first blank: Matt's votes = 33, Joseph's votes = 19. Twice Joseph's votes is $2\times19 = 38$. Since $33<38$, the number of votes for Matt is less than twice the number of votes for Joseph.

For the second blank: Sara's votes = 48, twice Joseph's votes is $2\times19 = 38$. Since $48 > 38$, the number of votes for Sara is more than twice the number of votes for Joseph.

For the third blank: Half of Sara's votes is $\frac{48}{2}=24$. Matt's votes = 33, and $33>24$, so the number of votes for Matt is more than half the votes for Sara.

For the fourth blank: Half of Sara's votes is $\frac{48}{2} = 24$. Joseph's votes = 19, and $19<24$, so the number of votes for Joseph is less than half the number of votes for Sara.

But maybe the question is about whether it is "more than", "less than" or "equal to". Let's check the exact values:

1. Matt's votes (33) vs twice Joseph's (38): 33 < 38 → less than
2. Sara's votes (48) vs twice Joseph's (38): 48 > 38 → more than
3. Matt's votes (33) vs half Sara's (24): 33 > 24 → more than
4. Joseph's votes (19) vs half Sara's (24): 19 < 24 → less than

Answer:

The number of votes for Matt is $\boldsymbol{\text{less than}}$ twice the number of votes for Joseph.

The number of votes for Sara is $\boldsymbol{\text{more than}}$ twice the number of votes for Joseph.

The number of votes for Matt is $\boldsymbol{\text{more than}}$ half the votes for Sara.

The number of votes for Joseph is $\boldsymbol{\text{less than}}$ half the number of votes for Sara.