Together, Preston and Haratio have 49 vido games. Horatio has 11 more games than Preston.How mmany games does each other person have?

Question

thanks

Answer 1

Hi Luke, 

We can answer this question through the following steps: 

Step One: Since we know that the total number of games is 49, we can create the Let Statements

Let x= the number of games Preston has

Let x+11=the number of games Horatio has

Step Two: Create an equation 

Total Number of Games = (the number of games Preston has)+(the number of games Horatio has)

49=x+(x+11) Distribute

49=x+x+11 Combine like terms

49=2x+11 Subtract 11 from both sides

49-11=2x

38=2x Divide both sides by 2

19=x

∴Preston has 19 games and Horatio has 30 games because 19+11=30.

Best, 

Star

Answer 2

P + H = 49  --> total amount of games

H = P + 11 --> H has 11 more games than P

 

Plug equation 2 into equation 1

P + P + 11 = 49

2P = 49 - 11 = 38

P = 38/2 = 19

H = P + 11 = 19 + 11 = 30