Question

3. Sophie and Jackie each have a collection of baseball cards, Jackie has 5 more cards than

Sophie, and together they have 30 cards. By writing and solving an equation, find out how
many cards Sophie owns. Show all of your working out.

Answer 1

Sophie has 12.5 cards

Explanation:

Let

x -----> number of cards Sophie has

y -----> number of cards Jackie has

we know that

x+y=30 -----> equation A

y=x+5 -----> equation B

Solve by substitution

Substitute equation B in equation A and solve for x

x+(x+5)=30

2x=30-5

x=12.5 cards

Note I assume the problem was invented without taking into account the result, because the amount of cards should be a whole number