Question

Peter has 4 more candies than Jude. The two have a total of 30 candies. How many candies does Peter have? How many candies does Jude have?
( Using Linear systems of Equation Substitution/ Elimination)

Answer 1

Answer:

Jude has 13 candies while Peter has 17 candies.

Step-by-step explanation:

Let x be the number of Jude's candies

Then x + 4 be the number of Peter's candies

So,

Jude's candies + Peter's candies = 30

x + (x+4) = 30

2x + 4 = 30

2x = 26

x = 13 ---> number of Jude's candies

And,

x + 4 = 13 + 4 = 17 --> number of Peter's candies

Answer 2

Answer:

Number of candies Jude has 13

Number of candies Peter has 17

Step-by-step explanation:

Number of candies Jude has = x

Number of candies Peter has = x+4

Total numbers of candies = 30

Total number of candies = 30

Jude's candies + Peter's candies = 30

x + x + 4 = 30

2x = 30 - 4

x = 26/2

x = 13

(Now we substitute values of x in equations)

So number of candies Jude has = x = 13

Number of candies Peter has = x+ 4= 13 + 4 = 17