Question

a company needs 3,472 liters of paint for a large project. paint comes in cans of 15 liters each. what is the minimum number of cans the company should purchase?
show your work here
232
231
230
233

Explanation:

Step1: Divide total liters by can size

To find the number of cans, divide the total liters needed (\(3472\)) by the liters per can (\(15\)): \(\frac{3472}{15} \approx 231.47\).

Step2: Round up to whole number

Since we can't purchase a fraction of a can, we round up \(231.47\) to the next whole number, which is \(232\). Wait, no—wait, \(15\times231 = 3465\), and \(3472 - 3465 = 7\) liters left. So we need one more can. Wait, \(15\times231 = 3465\), \(3472 - 3465 = 7\), so we need \(231 + 1 = 232\)? Wait, no, wait the calculation: \(3472\div15 = 231.466...\). So the minimum number of cans is the ceiling of \(231.466...\), which is \(232\)? Wait, but let's check again. Wait, maybe I miscalculated. Wait \(15\times231 = 3465\), \(3472 - 3465 = 7\), so we need \(232\) cans? Wait, but the options include 232. Wait, but let's do the division properly: \(3472 \div 15\). Let's compute \(15\times231 = 3465\), \(3472 - 3465 = 7\), so we need \(232\) cans because we can't have a fraction. So the correct answer should be 232? Wait, but let's check the options. The options are 232, 231, 233, 230. Wait, \(15\times231 = 3465\), which is less than 3472. \(15\times232 = 3480\), which is more than 3472. So we need 232 cans.

Answer:

232 (corresponding to the option with 232)