Q11
A tin of biscuits contains 20 cream biscuits and 35 glucose biscuits. If the tins in the
parcel contain 160 cream biscuits find the number of glucose biscuits.
Answers
Step-by-step explanation:
Given:-
A tin of biscuits contains 20 cream biscuits and 35 glucose biscuits. and there is in the
parcel contain 160 cream biscuits.
To find:-
Find the number of glucose biscuits ?
Solution:-
Number of cream biscuits in a tin = 20
Number of glucose biscuits in the tin = 35
Ratio of the cream biscuits to glucose biscuits in the tin of biscuits
= 20:35
=> 20/35
=> (4×5)/(5×7)
=> 4/7
=> 4:7
Let the number of glucose biscuits tins in the parcel be X
The number of cream biscuits tins in the parcel = 160
Their ratio = 160:X
Number of tins in the parcel increase then the number of glucose biscuits also increases
They are in proportion.
4:7 = 160:X
Product of means = 7×160 = 1120
Product of extremes = 4×X = 4X
In the Proportion
Product of extremes= Product of means
=> 4X = 1120
=>X = 1120/4
=>X = 280
The number of glucose biscuits = 280
Answer:-
The number of glucose biscuits =280 for the given problem
Used formulae:-
In the Proportion ,
Product of extremes= Product of means