Brain Teasers
Sand Buckets
Jemal, Lara, and Oren were making a giant sandcastle on the beach. They had 4 buckets: 2 red buckets that carry 3 lbs of sand each, 1 blue bucket that carries 5 lbs of sand, and 1 orange bucket that carries 7 lbs of sand.
They took turns carrying full buckets of damp sand back to their sandcastle spot. Altogether, they made 12 trips to the water's edge to get the damp sand.
Jemal made 4 trips, carrying 2 buckets each time. He used every possible combination of colored buckets.
Oren made 1 less trip than Jemal, using the blue and orange buckets each trip.
Lara used the 2 red buckets for each of her trips.
How many pounds of sand did they haul from the water's edge to their sandcastle spot?
They took turns carrying full buckets of damp sand back to their sandcastle spot. Altogether, they made 12 trips to the water's edge to get the damp sand.
Jemal made 4 trips, carrying 2 buckets each time. He used every possible combination of colored buckets.
Oren made 1 less trip than Jemal, using the blue and orange buckets each trip.
Lara used the 2 red buckets for each of her trips.
How many pounds of sand did they haul from the water's edge to their sandcastle spot?
Hint
Make a chart, then work backwards.Answer
They carried 102 pounds of sand from the water's edge to their sandcastle spot, and they made a beautiful castle!Jemal: (3+3)+(3+5)+(3+7)+(5+7)=36
Oren: (5+7)*3=36
Lara: (3+3)*(12-4-3)=30
Total: 36+36+30=102
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