50 point question solve all step-step by step
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1. 9:x::x:49
or,9/x=x/49
or,x^=49*9
or,x^=441
or,x= √441=21
so x is 21
2. Part 1 Time taken for 195km=3hrs
time taken for 1km=3/195hr
time taken for travelling 520km=3*520/195
=8hrs
Part 2Let the distance travelled of car in 7 hours is y
Km-----hours
195-----3
y--------7
Cross multiplication
3y=195×7
3y=1365
y=1365/3
y=455
So the car travelled 455kms in 7 hours
3. Part 1Weight of 65 books =13 kg
Weight of one book =1/5 kg.
Weight of 80 such books = 80*1/5=16 kg.
Part 2No.of books that together weigh 6.4 kg = 6.4/(1/5)
= 6.4 ×5
=32 books
4.Cost of 100 g coffee = 24
cost of 1000 g tea = 80
cost of 100 g tea = 80/1000 *100
= 8
ratio of tea to Coffee = 8:24 = 1:3
or,9/x=x/49
or,x^=49*9
or,x^=441
or,x= √441=21
so x is 21
2. Part 1 Time taken for 195km=3hrs
time taken for 1km=3/195hr
time taken for travelling 520km=3*520/195
=8hrs
Part 2Let the distance travelled of car in 7 hours is y
Km-----hours
195-----3
y--------7
Cross multiplication
3y=195×7
3y=1365
y=1365/3
y=455
So the car travelled 455kms in 7 hours
3. Part 1Weight of 65 books =13 kg
Weight of one book =1/5 kg.
Weight of 80 such books = 80*1/5=16 kg.
Part 2No.of books that together weigh 6.4 kg = 6.4/(1/5)
= 6.4 ×5
=32 books
4.Cost of 100 g coffee = 24
cost of 1000 g tea = 80
cost of 100 g tea = 80/1000 *100
= 8
ratio of tea to Coffee = 8:24 = 1:3
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