Question

staar-formatted practice - random samples d. grade

candidates\tnumber of votes
sara\t48
matt\t33
joseph\t19

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 less th twice the number of votes for joseph.

the number of votes for sara is greatet twice the number of votes for joseph.

the number of votes for matt is greater half the votes for sara.

the number of votes for joseph is less th half the number of votes for sara.

Explanation:

Step1: Calculate twice Joseph's votes

Joseph has 19 votes, so twice his votes is \(2\times19 = 38\). Matt has 33 votes. Since \(33<38\), Matt's votes are less than twice Joseph's.

Step2: Calculate twice Joseph's votes (again for Sara)

Twice Joseph's votes is 38. Sara has 48 votes. Since \(48 > 38\), Sara's votes are greater than twice Joseph's.

Step3: Calculate half of Sara's votes

Sara has 48 votes, half of that is \(\frac{48}{2}=24\). Matt has 33 votes. Since \(33>24\), Matt's votes are greater than half of Sara's.

Step4: Calculate half of Sara's votes (again for Joseph)

Half of Sara's votes is 24. Joseph has 19 votes. Since \(19<24\), Joseph's votes are less than half of Sara's.

Answer:

1. The number of votes for Matt is \(\boldsymbol{\text{less than}}\) twice the number of votes for Joseph.
2. The number of votes for Sara is \(\boldsymbol{\text{greater than}}\) twice the number of votes for Joseph.
3. The number of votes for Matt is \(\boldsymbol{\text{greater than}}\) half the votes for Sara.
4. The number of votes for Joseph is \(\boldsymbol{\text{less than}}\) half the number of votes for Sara.