10: A bin of bolts at the hardware store contains 7-dozen bolts when full. The stock clerk is supposed to reorder bolts when the bin is 1⁄6 full. How many bolts are in the bin when it’s time to reorder?

Respuesta :

The answer is 14 bolts.

1 dozen bolts have 12 bolts.
7 dozen bolts have x bolts
___
1 : 12 = 7 : x
x = 7 * 12 : 1
x = 84 bolts


1 bin has 7-dozen bolts (84 bolts).
1/6 bin has x bolts

1 : 84 = 1/6 : x
x = 84 * 1/6 : 1
x = 84/6 = 14 bolts