Question
For a certain kind of plaster work, 1.9 cu yd of sand are needed for every 100 sq yd of surface. How much sand will be needed for 370 sq yd of surface? \( \square \) cu yd of sand will be needed for 370 sq yd of surface. (Simplify your answer.)
Ask by Wade Weber. in the United States
Jan 23,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
7.03 cu yd of sand will be needed for 370 sq yd of surface.
Solution
To determine how much sand is needed for 370 square yards of surface, we can use a proportion based on the given ratio:
\[
\frac{1.9 \text{ cu yd}}{100 \text{ sq yd}} = \frac{x \text{ cu yd}}{370 \text{ sq yd}}
\]
Solving for \( x \):
\[
x = \frac{1.9 \times 370}{100} = \frac{703}{100} = 7.03 \text{ cu yd}
\]
**7.03** cu yd of sand will be needed for 370 sq yd of surface.
Reviewed and approved by the UpStudy tutoring team
Like
error msg
Explain 
Simplify this solution Beyond the Answer
To find the amount of sand needed for 370 sq yd of surface, we can set up a proportion based on the given ratio. Since 1.9 cu yd of sand is needed for every 100 sq yd, we calculate the amount needed for 370 sq yd by: \[ \text{Amount of sand} = \frac{1.9 \text{ cu yd}}{100 \text{ sq yd}} \times 370 \text{ sq yd} = \frac{1.9 \times 370}{100} \] \[ = \frac{703}{100} = 7.03 \text{ cu yd} \] So, you will need 7.03 cu yd of sand for 370 sq yd of surface.
