Problem of the Week - Lower Elementary - April 11, 2021 to April 17, 2021

Apr 11, 2021 | West Covina

 

 

 

Lower Elementary

 

Question: Jack builds a sand castle with 8 different sand molds. The smallest mold holds 1 1/2 cups of sand. The next mold holds 3 cups of sand. The third mold holds 6 cups of sand, and the fourth holds 12 cups of sand. If the pattern continues, then how much sand does the biggest mold hold? 

 

 

 

 

 

 

Answer: 192 cups

 

 

Solution: Each mold holds twice as much as the last. So, the fifth holds 12+12=24 cups. The sixth holds 24+24=48 cups. The seventh holds 48+48=96 cups, and the eighth holds 96+96=192 cups.