RATIO - Jimmymaths

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IOConstant PartIn a pet shop, the ratio of the number of hamsters to the number of rabbits is 11 : 2. After 18 ofthe hamsters were sold, the ratio of the number of hamsters to the number of rabbits became 4 :1. How many hamsters and rabbits were there in the pets shop in the end?Unitary MethodBeforeHamsters11::Rabbits2AfterHamsters4 28:::Rabbits1 22Therefore after making the units (Rabbits) the same,Decrease in the number of hamsters 11 units – 8 units 3 units3 units 181 unit 18 3 6Total hamsters and rabbits 8 units 2 units 10 units 10 6 60There were 60 hamsters and rabbits in the pets shop in the end.1 P a ge

Question 1.In a dance hall, the ratio of the number of men to women who are dancing is 2 : 5. If 70 menleave the dance hall, the number of men to the woman who are dancing will be 1 : 6. How manymen and women are there in the dancing hall in the end?Ans:Question 2.The ratio of the number of 20-cent coins to the number of 50-cent coins in John’s wallet was 2 :7. After John spent 54 of the 50-cent coins, the ratio of the number of 20-cent coins to thenumber of 50-cent coins became 5 : 4. How many coins did John have in the end?Ans:2 P a ge

www.jimmymaths.comjimmyling@jimmymaths.comQuestion 3In the morning, the ratio of the chicken eggs to the quail eggs at the market was 3 : 2. By theevening, 210 chicken eggs were sold, the ratio of the number of chicken eggs to the quail eggsbecame 1 : 3. How many eggs were at the market in the end?Ans:Question 4Saul and David share a sum of money in the ratio of 7 : 5. If Saul spent 35, the ratio of Saul andDavid became 4 : 3. Find the sum of the money in the end.Ans:3 P a ge

www.jimmymaths.comjimmyling@jimmymaths.comQuestion 5In a plantation, the ratio of the number of apple trees to the number of mango trees was 6 : 11. Afire destroyed 78 of the apple trees and the ratio of apple trees to the number of mango treesbecame 1 : 4. How many trees were left in the plantation after the fire?Ans:4 P a ge

sQuestion 1.BeforeMen2 612:::Women5 630AfterMen1 55:::Women6 530Therefore after making the units (Women) the same,Decrease in the number of men 12 units – 5 units 7 units7 units 701 unit 70 7 10Total men and women 5 units 30 units 35 units 35 10 350There were 350 men and women in the dance hall in the end.Question 2.Before20-cent2 510:::50-cent7 535After20-cent5 210:::50-cent4 28Therefore after making the units (20-cent) the same,Decrease in the number of 50-cent 35 units – 8 units 27 units27 units 541 unit 54 27 2Total 20-cent and 50-cent 10 units 8 units 18 units 18 2 36John had 36 20-cent and 50-cent coins in the end.5 P a ge

www.jimmymaths.comjimmyling@jimmymaths.comQuestion 3.BeforeChicken eggs :3 3:9:Quail eggs2 36AfterChicken eggs :1 2:2:Quail eggs3 26Therefore after making the units (quail eggs) the same,Decrease in the number of chicken eggs 9 units – 2 units 7 units7 units 2101 unit 210 7 30Total chicken and quail eggs 2 units 6 units 8 units 8 30 240There were 240 eggs at the market in the end.Question 4.BeforeSaul7 321:::David5 315AfterSaul4 520:::David3 515Therefore after making the units (David) the same,Decrease in Saul money 21 units – 20 units 1 unit1 units 35Total Saul and David have 20 units 15 units 35 units 35 35 1225Both Saul and David had 1225 in the end.6 P a ge

www.jimmymaths.comjimmyling@jimmymaths.comQuestion 5.BeforeApple trees6 424:::Mango trees11 444AfterApple trees1 1111:::Mango trees4 1144Therefore after making the units (mango trees) the same,Decrease in the number of apple trees 24 units – 11 units 13 units13 units 781 unit 78 13 6Total number of apple and mango trees 11 units 44 units 55 units 55 6 330There were 330 trees left in the plantation after the fire.7 P a ge

Unitary Method Before After Hamsters : Rabbits Hamsters : Rabbits 11 : 2 4 2: 1 2 8 : 2 Therefore after making the units (Rabbits) the same, Decrease in the number of hamsters 11 units – 8 units 3 units 3

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