Posted by **Joseph** on Thursday, February 19, 2009 at 3:26pm.

Joe and Anna collect football cards.The greatest common factor of the numbers of cards in their collections is 15.Altogether Joe and Anna have 75 cards.If Joe has more cards than Anna,how many cards do they each have?

- Math -
**Reiny**, Thursday, February 19, 2009 at 4:44pm
since 15 is a common factor the number of cards each has must be a multiple of 15

let the number of cards that Joe has be 15x, let Anna's number of cards be 15y

then 15x + 15y = 75

x + y = 5

also x > y , and of course both x and y must be whole numbers.

there are only 2 possibilities for x and y

(4,1), (3,2)

(4,1) : Joe has 60, Anna has 15

(3,2) : Joe has 45, Anna has 30

both cases satisfy your 3 conditions.

## Answer this Question

## Related Questions

- math - al has twice as many baseball cards as frank and four times as many ...
- 8th Grade MATH - a pack of 8 collectable cards contains 1 rare card, 3 uncommon ...
- math - abby has 8 sports cards. she has either hockey or football cards she has ...
- math - Trey keeps sports cards in 3 drawers. Each drawer contains exactly 120 ...
- Calculus - Joe dealt 20 cards from a standard 52-card deck, and the number of ...
- maths - aman had 128 trading cards. he gave 3/8 of his cards to mohit and 1/4 ...
- maths - aman had 128 trading cards. he gave 3/8 of his cards to mohit and 1/4 ...
- math (always) - if peter has 60 basball cards in his collection how many ...
- Math - Tom has some baseball cards and football cards. He had four times as ...
- math - jake has 6 cards. 4 of his cards are red and 2 cards are blue. Alicia ...

More Related Questions