Question

Sam brought 9 new basketball trading cards to add to his collection the next day his dog ate half of his collection there are now only 38 cards left how many cards did Sam start with

Answer 1

Answer:

Sam had 67 cards at the start.

Step-by-step explanation:

Given:

number of cards added to the collection = 9

Number of cards left = 38

we need to find the total number of cards Sam had in the start.

Solution:

Let the Total number of cards Sam had in the start be 'x'.

number of cards added to the collection = 9

So Total number of cards after addition = $x+9$

Also Given:

His dog ate half of the collection;

So we can say that;

Total number of cards after dog ate = $\frac{x+9}{2}$

Now we can say that;

Total number of cards after dog ate is equal to Number of cards left with him.

framing in equation form we get;

$\frac{x+9}{2}=38$

Multiplying both side by 2 we get;

$2\times \frac{x+9}{2}=38\times2\\x+9 =76$

Now subtracting both side by 9 we get;

$x+9-9=76-9\\\\x= 67$

Hence Sam had 67 cards at the start.