Claude has 7 paintings and he can paint 2 every week.
Clint has 10 paintings and he takes 2 weeks to paint
1 picture. How many weeks (w) will it be before Claude
has as many paintings as Clint?

Representing the word problem as an equation, it will take 2 weeks for them to have the same number of painting.

number of weeks = w

Claude's painting after w weeks can be written thus ;

7 + 2w

Clint's painting after w weeks can be written thus ;

10 + 0.5w

Equating both expression:

7 + 2w = 10 + 0.5w

Collect like terms :

2w - 0.5w = 10 - 7

1.5w = 3

w = 3/1.5

w = 2

Hence, it will take 2 weeks for them to have the same number of painting.

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