Once upon a time, a queen sent out three servants to buy gems for her treasury. The first servant paid $112,000 for 2 diamonds and 1 ruby. The second servant paid $127,000 for 2 diamonds, 3 emeralds, and 1 ruby. The third servant paid $62,000 for 1 diamond and 2 emeralds. The diamonds all cost the same amount, the rubies all cost the same amount, and the emeralds all cost the same amount. How much did each kind of gem cost the queen?

question 1 is 8, question 2 is 9, question 3 is 24

step-by-step explanation:

now, the numbers they give you at the top are the key. from there, you just have to plug and chug! let's try 1, 2, and 3!

key: a=3, b=5, c=6

1. a+5

remember, a=3, so we plug that in to get 3+5=8

2. 15-c

c=6, so we plug that in to get 15-6=9

3. 4b

b=6, so we plug it in to get 4*6=24

time to try the rest on your own! if you put the answers below in a comment, i'll check them for you!