SOLUTION: a) Find the smallest sum of 2 perfect squares that end with the digit 9. b) Yellow buttons are sold in packets of 1080 and green buttons are sold in packets of1350. Siti wants to

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Question 458795: a) Find the smallest sum of 2 perfect squares that end with the digit 9.
b) Yellow buttons are sold in packets of 1080 and green buttons are sold in packets of1350. Siti wants to have an equal number of each type of buttons.
(i) Find the least number of packets of each type of buttons Siti has to buy.
(ii) Hence find the number of packets of each type of buttons Siti has to buy.
c) A straight row of trees is to be planted on a 100m stretch of road. If the trees are equally spaced at 5m, how many trees would be planted?
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
a) 2%5E2+%2B+5%5E2+=+4+%2B+25+=+29
b) Find the lcm of 1080 and 1350:
1080+=+2%5E3%2A3%5E3%2A5 and 1350+=+2%2A3%5E3%2A5%5E2
==> LCM is 2%5E3%2A3%5E3%2A5%5E2+=+5400
Hence Siti has to buy 5400/1080 = 5 packets of yellow buttons, and
5400/1350 = 4 packets of green buttons. (These give the least number of packets for each color.)
c) 100/5 + 1 = 21 trees