Question

John has a box of nails. The box contains 65 small nails, 40 medium nails, and 45 large nails. Susan has a box of nails that has the same proportion of small, medium, and large nails as John's box. There are 176 medium nails in Susan's box.

What is the total number of nails in Susan's box?

Answer 1

326

Explanation:

Add a nails: 65+40+45+176= The answer

Answer 2

660

Explanation:

John

65s (small)

40m (medium)

45 L (large)

Susan

x small

176m

y large

From question:

Susan has a box of nails that has the same proportion of small, medium, and large nails as John's box =Meaning same ratio

John ratio. Susan

s : m : L s : m : L

65 : 40 : 45. 13 : 8 : 9

13 : 8 : 9. x : 176 : y

x = (176/8)*13

=286

y = (176/8) * 9

= 198

Total number of nails in Susan box

= x + 176 + y

= 286 + 176 + 198

=660