I need help with this question;

A printer can print 40 pages in 1.6 minutes.

a. Write and solve a proportion to find the number of pages that the printer can print in 5 minutes.

b. Lana wants to use the printer to print 150 pages. Find the time, in minutes, it will take to print 150 pages.

x/5 = 40/1.6

x/150 = 1.6/40
solve for x

x/5 = 40/1.6 = 125

x/150 = 1.6/40 = 6

a. To find the number of pages that the printer can print in 5 minutes, we can set up a proportion relating the number of pages to the time taken. Let's call the number of pages that can be printed in 5 minutes as x.

The given information states that the printer can print 40 pages in 1.6 minutes. So we can set up the following proportion:

40 pages / 1.6 minutes = x pages / 5 minutes

To solve this proportion, we can cross-multiply:

40 * 5 = 1.6 * x

200 = 1.6 * x

Now, divide both sides of the equation by 1.6 to solve for x:

x = 200 / 1.6

x ≈ 125

Therefore, the printer can print approximately 125 pages in 5 minutes.

b. To find the time it will take to print 150 pages, we can set up another proportion relating the time to the number of pages. Let's call the time taken to print 150 pages as t minutes.

The given information states that the printer can print 40 pages in 1.6 minutes. So we can set up the following proportion:

40 pages / 1.6 minutes = 150 pages / t minutes

To solve this proportion, we can cross-multiply:

40 * t = 1.6 * 150

Now, divide both sides of the equation by 40 to solve for t:

t = (1.6 * 150) / 40

t = 6

Therefore, it will take 6 minutes to print 150 pages using the printer.