1) In a family the consumption of cereals and vegetables is in the ratio 5 : 2. If the total quantity is 35 kg,
find the consumption of each.
2) In a piggy bank there are l-and 2-rupee coins. The number of 1-rupee coins is four times the number of
2-rupee coins. If the total money in he piggy bank is 90, find the number of l-and 2-rupee coins.
Please answer.
Answers
Let quantity of cereal be 5x
Quantity of vegetables be 2x
Total quantity of both=5x+2x=35kg
7x=35
x=35/7=5
Quantity of cereal =5×5=25kg
Quantity of vegetables =2×5=10kg
Let the no of 2 rupee coins be x
no of 1 rupee coins be 4x
Total money in the piggy bank=2x+4x=6x=90
So, x=90/6=15
So no of 2 rupee coins =x=15
no of 1 rupee coins =4x=4×15=60
1st Question :-
Answer :-
Given :-
In a family, the consumption of cereals and vegetables is in the ratio of 5 : 2 Total quantity = 35 kgs
Required to find :-
Find the how much each quantity is consumed ?
Solution :-
Given information :-
In a family, the consumption of cereals and vegetables is in the ratio of 5 : 2
Total quantity = 35 kgs
we need to find the how much each quantity is consumed .
So, Let's consider ;
Amount of quantity of cereals consumed be 5x
Amount of quantity of vegetables consumed be 2x
However ;
Total quantity = 35 kgs .
So,
According to problem ;
Amount of quantity of cereals consumed + Amount of quantity of vegetables consumed = Total quantity
This implies ;
5x + 2x = 35
7x = 35
x = 35/7
x = 5
Therefore ; Amount of quantity of cereals consumed = 5x = 5(5) = 25 kgs
Amount of quantity of vegetables consumed = 2x = 2 ( 5 ) = 10 kgs
2nd Question :-
Answer :-
Given :-
The number of 1 rupee coins is 4 times the 2 rupee coins .Total money = 90
Required to find :-
Number of 1 and 2 rupee coins ?
Solution :-
Given information :-
The number of 1 rupee coins is 4 times the 2 rupee coins .
Total money = 90
we need to find the number of 1 and 2 rupee coins .
So, Let no. of 2 rupee coins be x
no. of 1 rupee coins is 4 times 1 rupee coins be 4x
value of 1 rupee coins = 1 ( 4x ) = 4x
value of 2 rupee coins = 2 ( x ) = 2x
However ;
Total money = 90
According to problem ;
Value of 1 rupee coins + Value of 2 rupee coins = Total money
This implies ;
4x + 2x = 90
6x = 90
x = 90/6
x = 15
Therefore ;
No. of 1 rupee coins = 4x = 4 ( 15 ) = 60
No. of 2 rupee coins = x = 15