Question

Latoya has large collection of basketball cards. She gave half of her friend Erin and a fourth of her brother.She still has 75 cards left.How many cards does she start with?

Answer 1

let the no.of cards be x
so, 1/2x+4/3x+75=x
3x/4+75=x
75=x-3x/4
75=x/4
hence,
x=75×4=300
she have 300 cards.

Answer 2

Answer:  Number of cards she start with is 75 cards.

Step-by-step explanation:

Since we have given that

Let the total cards be 'x'.

Number of cards she given to her friend is given by

$\frac{x}{2}$

Number of cards she given to her brother is given by

$\frac{x}{4}$

Total cards she has given

$\frac{x}{2}+\frac{x}{4}\\\\=\frac{2x+x}{4}\\\\=\frac{3x}{4}$

Remaining cards will be

$x-\frac{3x}{4}\\\\=\frac{4x-3x}{4}\\\\=\frac{x}{4}$

Number of remaining cards = 75

$\frac{x}{4}=75\\\\x=75\times 4\\\\x=300$

Hence, Number of cards she start with is 75 cards.