1. 2.5 times of a number is 45 times more than itself. What's the number? 2. There are 55 chickens in two cages. If one ninth of them is taken out of cage a and one seventh of them is taken out of cage B, the remaining chickens in the two cages are exactly the same? 3. There is a glass of sugar water, the weight ratio of sugar and water is 2:9, then add 4G sugar, the weight of sugar water is 92g 4. Solving equation 2、2/5×1/2-1/10x=1/6 Two fifths times one half minus one tenth times x = one sixth (*: not comprehensive)

1. 2.5 times of a number is 45 times more than itself. What's the number? 2. There are 55 chickens in two cages. If one ninth of them is taken out of cage a and one seventh of them is taken out of cage B, the remaining chickens in the two cages are exactly the same? 3. There is a glass of sugar water, the weight ratio of sugar and water is 2:9, then add 4G sugar, the weight of sugar water is 92g 4. Solving equation 2、2/5×1/2-1/10x=1/6 Two fifths times one half minus one tenth times x = one sixth (*: not comprehensive)

1, let this number be x, then 2.5x-x = 45, 1.5x = 45, x = 30
2. If cage a has x, cage B has 55-x, so x (1-1 / 9) = (55-x) (1-1 / 7)
56x = 2970-54x, 56x + 54x = 2970, x = 27, so there are 27 in a and 28 in B
3. Suppose there are x grams of sugar now, then there were x-4 grams of sugar and 92-x grams of water
So there is (x-4): (92-4-x) = 2:9
So 9 (x-4) = 2 (92-x) 9x-36 = 184-2x 11x = 220 x = 20 g, so there is 92-20 = 72 g of water, so now there are 20 g of sugar and 72 g of water
4,2/5×1/2-1/10x=1/6
Multiply both sides by 30 at the same time to get 12 × 1 / 2 - 3x = 5
6-3X=5 1=3X X=1/3
Is this detailed enough for me