Ros has some pineapples. She packs all the pineapples into baskets of 4.
She packs the pineapples into baskets of 5 and has 3 pineapples without
a basket.

If Ros has less than 90 pineapples, find the greatest possible number
of pineapples she has?

Respuesta :

Answer:

88 pineapples

Step-by-step explanation:

The last digit can only be 8 since it will be a multiple of 4 and also a multiple of 5+3. It can't be 2 or 0 since 5 would be 9 or 7 and you can't have a fraction of a pineapple.

Therefore, we can test 88 first since it asks for the maximum amount. 88 fulfills the requirements, since if we divide by 5, we get a remainder of 3, and if we divide by 4 we get no remainder.