Systems Word Problems

In a pasture, there are cows and chickens. If there are a total of 34 animals and 114 legs, how many chickens and cows are there?

• 11 cows, 23 chickens

• 40 cows, -6 chickens

• 23 cows, 11 chickens

• 34 cows, 114 chickens

Flagship Cinemas sells movie tickets that are $4 for matinees (x) and $7 for regular (y). One night, the theater sells 578 tickets and collects $3365 in total ticket sales.

Which system best represents the situation? 

Which two equations can be used to solve this problem? Select the two that apply.

• $x+y=578$

• $4x+7y=3365$
  

• $4x+7y=578$
  

• $x+y=3365$
  

• $7x+4y=3365$

Jose sells tickets for admission to the school play and collects a total of $104. Admission prices are $6 for adults (a) and $4 for children (c). He sold 21 tickets total. Which of the following systems of equations is a correct representation of this data?

•  $a+c=21$ 
   $6a+4c=104$  
  

•  $6a+4c=21$  
  

   $a+c=104$  
  

•  $a+c=21$  
  

   $4a+6c=104$  
  

•  $10a+c=21$  
  

   $125a+10c=104$  
  

Sophia and Naomi were in a competition to see who could have the most money in the bank after 6 weeks. Sophia started with $350 in her account and made $25 a week babysitting. Naomi had $150 in her account and made $50 a week cleaning houses. When during this competition did they have the same amount in the bank?

• After 8 weeks

• After 6 weeks

• After 3 weeks

• Never

• If Paul needs the moving van for less than 3 hours, he should go with Sam's Movers.

• If Paul needs the moving van for less than 3 hours, he should go with Three Brothers.

• If Paul needs the moving van for more than 4 hours, he should go with Three Brothers.

• Sam's Movers is always going to be the cheapest option.

In Maggie's barn, there are pigs and ducks. If there are a total of 43 animals and 148 legs, how many pigs are in the barn?

• 148 pigs

• 43 pigs

• 12 pigs

• 31 pigs