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# Question

# Answer

mr.tan

We might have started with this:TABLES CHAIRSSTART T 45 + T But we soon realize that we need to compute 25% of T (i.e. 1/4 of T) and 5/9 of (45 + T). We can use fractions but it tends to be messy. Since 4 x 9 = 36, let us use T = 36u instead. It makes life easier because1/4 x 36u = 9uand5/9 of (45 + 36u) = 25 + 20u. SoTABLES CHAIRSSTART 36u 45 + 36u SOLD 9u 25 + 20u Since 91 more chairs were sold, so25 + 20u = 91 + 9u. This can be solved to get 11u = 66 so u = 6.Number of tables left unsold is 36u - 9u = 27u = 27 x 6 = 162. CHECK:TABLES CHAIRSSTART 216 261 SOLD 54 145 (145 - 54 = 91, 145/261 = 5/9) UNSOLD 162 If you find this useful, please Accept Answer. Thanks!

ChiefKiasu

Let me try the stupid way 🙂

Let there be T tables.

So there are T + 45 chairs.

(5/9)(T + 45) – (25/100)T = 91

(5/9)T + 25 – (1/4)T = 91

((20-9)/36)T = 91 – 25

(11/36)T = 66

T = (36/11)66 = 216

The number of tables left unsold is 3/4 T = (3/4) 216 = 162 #

You are right. It is a mouthful 😛