Question

a home owner purchased 16 3/4 pounds of soil more then his neighbor. if the neighbor purchased 9 1/2 pounds of soil, how many pounds of soil did the homeowner purchase?

Answer 1

The homeowner purchased 26 1/4 pounds of soil after adding the 16 3/4 pounds they bought more than what their neighbor bought, which was 9 1/2 pounds.

Step-by-step explanation:

The homeowner purchased 16 3/4 pounds of soil more than his neighbor. The neighbor bought 9 1/2 pounds of soil. To find out how many pounds the homeowner bought, we add these two amounts together.

First, convert the mixed numbers to improper fractions

• 16 3/4 = (16 × 4) + 3 / 4 = 67/4 pounds
• 9 1/2 = (9 × 2) + 1 / 2 = 19/2 pounds

Now we can add the two amounts:

67/4 + 19/2 = 67/4 + (19 × 2)/4 = 67/4 + 38/4 = (67 + 38)/4 = 105/4 pounds

Convert the improper fraction back to a mixed number:

105/4 = 26 with a remainder of 1, so it's 26 1/4 pounds.

Therefore, the homeowner purchased 26 1/4 pounds of soil.