Question

sam needs bags of mulch to put in his flower bed. he has 470 square feet to cover in his flower bed. he paid $194.11 for all the bags he needed to cover the flower bed. if he paid $4.13 for each bag of mulch, how many square feet did each bag cover? round your answer to the thousandths.

Explanation:

Step1: Find number of bags

Total cost is $194.11, each bag costs $4.13. So number of bags $n = \frac{194.11}{4.13}$.
Calculating: $194.11 \div 4.13 = 47$.

Step2: Find square feet per bag

Total square feet is 470, number of bags is 47. So per bag: $470 \div 47 = 10.0$. Wait, no, wait: Wait, 470 divided by 47? Wait, 4710=470. Wait, but let's check again. Wait, step1: 194.11 divided by 4.13. Let's compute 4.1347: 447=188, 0.1347=6.11, so 188+6.11=194.11. Correct. Then step2: 470 square feet divided by 47 bags: 470/47 = 10.0? Wait, but the problem says "round to the thousandths". Wait, maybe I made a mistake. Wait, no, 470 divided by 47 is exactly 10.000 when rounded to thousandths. Wait, but let's re-express. Wait, maybe the steps are:

First, find the number of bags: total cost / cost per bag = 194.11 / 4.13 = 47. Then, square feet per bag: total square feet / number of bags = 470 / 47 = 10.0. So when rounded to the thousandths place, it's 10.000.

Wait, but let's do the division properly. 470 ÷ 47: 47*10 = 470, so the result is 10.000.

Answer:

10.000