A science teacher ordered $3980 worth of microscopes and dissection kits for the new science lab. A total of 38 microscopes and 47 dissection kits were ordered. A microscope costs four times as much as a dissection kit. Write a system of linear equations that represents this situation. What is the cost of each item?

Cost of a kit is $20

cost of a microscope is $80

Step-by-step explanation:

Here, we want to write a set of equations and solve

Let the cost of a microscope be $m while the cost of a kit be $k

Total cost of 38 microscopes will be 38 * m = $38m

Total cost of 47 kits = 47 * k = $47k

The sum of these is $3980

That will be;

47k + 38m = 3980 ••••••(i)

A microscope cost 4 times a kit

Mathematically;

m = 4k •••••••••(ii)

Substitute ii into i

47k + 38(4k) = 3980

47k + 152k = 3980

199k = 3980

k = 3980/199

k = $20

Recall;

m = 4k

m = 4 * 20 = $80

answer: there are x+184 pages in olivia's book.

step-by-step explanation:

let the total number of pages in the book which olive has already read be x.

then if olive has 184 pages left to read, then the total number of pages are in olive's book= pages she has read+pages she has left to read

therefore, the total number of pages in olivia's book=

hence, there are x+184 pages in olivia's book.