Hint: What do the 3 numbers add and multiply to give so far?
The three prices add to 1.50 + 3.00 + 4.00 = 8.50.
The three prices multiply to 1.50 x 3.00 x 4.00 = 18.00.
You might be able to see that adding another 0.50 will take the total to 9.00, and multiplying by another 0.50 will take the product to 9.00.
The answer can also be found using algebra. If we call the missing price P, we have:
1.50 + 3.00 + 4.00 + P = 1.50 x 3.00 x 4.00 x P
8.50 + P = 18.00 x P
8.50 = 18.00 x P - P
8.50 = 17.00 x P
8.50 ÷ 17.00 = P
P = 0.50. QED.
After a recent spate of home improvements, four couples were having a dinner party to discuss the additions to their houses.
Alan had not recently had a new bathroom. Kara had not yet done her kitchen, but perhaps would update it next. Brian, who is married to Maud, had not had new windows. Laura delighted in showing photographs of her new conservatory. Neither Charles nor David had a new kitchen. Julie had not had new windows. Alan, who also had not had windows, is not married to Laura and Charles is not married to Kara.
Who is married to whom and what work had they recently undertaken, assuming that each couple had one improvement and no two couples had the same improvement.
Alan is married to Julie and they had a new kitchen.
Brian is married to Maud and they had a new bathroom.
Charles is married to Laura and they had a new conservatory.
David is married to Kara and they had new windows.
Using the BrainTracker grid below, how many words can you find? Each word must contain the central Y and no letter can be used twice, however, the letters do not have to be connected. Proper nouns are not allowed, however, plurals are. Can you find the nine letter word?