Owen and Eva spent the same amount of money making copies. Owen spent 14 cents per copy, while Eva spent 10 cents per copy. What is the SMALLEST possible difference between the number of copies Eva made and the number of copies Owen made?

Respuesta :

Answer:

2

Step-by-step explanation:

14 times 5= 70

10 times 7= 70

70 is the LCM for 14 and 10, least common multiple meaning the least difference, then subtract to get 2

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Answer:

The answer is 2 copies.

Step-by-step explanation:

It is given that Owen and Eva spent the same amount, which means that the amount that Owen spent is a multiple of 10. So in order to find how much Owen spent, you have to find LCM of 10 and 14 10 :

LCM of 10 = 2, 5

LCM of 14 = 2, 7

LCM of 10&14 = 2×5×7

= 70

14 × 5 copies = 70 cents

Next, we have to find how many copies did Eva spent using 70 cents because both of them spent the same amount :

10 cents = 1 copy

70 cents = 1 copy × 7

= 7 copies

Lastly, Eva has 7 copies and Owen has 5 copies so the difference between them is 2 copies.