Answered

The number of cards in 4/5 of Hazel's baseball card collection is equal to twice the number in her brother's collection. If Hazel's brother has 80 cards, how many does Hazel's have?

Answer :

Answer:

Hazel have 200 baseball cards in her collection.

Step-by-step explanation:

Let the number of card Hazel's have be x.

Given:

Hazel brother have  = 80 cards

Also Given:

The number of cards in 4/5 of Hazel's baseball card collection is equal to twice the number in her brother's collection.

It means that 4/5 times of hazel card is equal to 2 multiplied with the number of cards hazel brother have.

Framing in equation form we get;

[tex]\frac{4}{5}\times x = 2\times 80\\\\4 \times x = 2 \times 80 \times 5\\\\x=\frac{2\times 80 \times 5}{4} =200[/tex]

Hence Hazel have 200 baseball cards in her collection.