Kenny had 5/7 more trading cards than lee. After Kenny collected 50% more trading cards, he had 220 more trading cards than lee. How many trading cards did lee have?

Respuesta :

Answer:

Step-by-step explanation:

Let X is the number of cards Kenny has

Let Y is the number of cards Lee has

1. Kenny had 5/7 more trading cards than lee, it means

X = Y + 5/7X (1)

2. After Kenny collected 50% more trading cards, he had 220 more trading cards than lee, it means:

X + 50%X = Y +  220 (2)

So, we solve the 2 equations to find out X and Y

[tex]\left \{ {{X=Y + 5/7X} \atop {1.5X=Y +220}} \right.[/tex]

<=> X = [tex]\frac{3080}{17}[/tex] and Y = [tex]\frac{880}{17}[/tex]

<=> X ≈181 and Y ≈ 52