# FMM7

### From charlesreid1

# Friday Morning Math Problem

## Sharing Dump Trucks

Three neighboring construction sites are sharing dump trucks (due to an equipment shortage).

The first site lends the second and third as many dump trucks as they each already had. A few months later, the second lent the first and third as many dump trucks as they each had. Still later, the third lent the first and second as many as they each already had. Each construction site now had 24 dump trucks.

How many dump trucks did each site originally have?

Solution |
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Solve the problem backwards:
First / Second / Third 24 + 24 + 24 = 72 12 + 12 + 48 = 72 6 + 42 + 24 = 72 39 + 21 + 12 = 72Last line is the answer. |

## Flags

Friday Morning Math ProblemsSpider Socks and Shoes FMM1 Sums of Powers of 2 FMM2 Fifty Coins FMM3 The Zeta Monogram FMM4 The Cthulhus Monogram FMM4B Multiplication Logic FMM5 The Termite and the Cube FMM6 Sharing Dump Trucks FMM7 The Flippant Juror FMM8 Bus Routes FMM9 A Robust Bus System FMM9B Square-Free Sequence FMM10 Inferring Rule from Sequence FMM11 Checkerboard Color Schemes FMM12 One-Handed Chords FMM13 First Ace FMM14 Which Color Cab FMM15 Petersburg Paradox Revisited FMM16 A Binomial Challenge FMM17 A Radical Sum FMM18 Memorable Phone Numbers FMM19 Arrange in Order FMM20 A Pair of Dice Games: FMM21
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