2/5+1/4 = 8/20+5/20 = 13/20 spent on biscuit and plantain.
20/20-13/20 = 7/20 spent on drinks.
20/20-13/20 = 7/20 spent on drinks.
i. Fraction spent on plantain chips and biscuits:
The boy spent 2/5 of his pocket money on biscuits and 1/4 on plantain chips.
So, the fraction spent on plantain chips and biscuits is:
2/5 + 1/4
To add these fractions, we need to find a common denominator. The least common multiple of 5 and 4 is 20.
So, the fraction spent on plantain chips and biscuits is:
(2/5) * (4/4) + (1/4) * (5/5) = 8/20 + 5/20 = 13/20
Therefore, the boy spent 13/20 of his pocket money on plantain chips and biscuits.
ii. Fraction spent on drinks:
To find the fraction spent on drinks, we subtract the fraction spent on plantain chips and biscuits from 1.
1 - 13/20
To subtract fractions, we need to find a common denominator. The least common multiple of 20 and 1 is 20.
So, the fraction spent on drinks is:
(1/1) * (20/20) - (13/20) = 20/20 - 13/20 = 7/20
Therefore, the boy spent 7/20 of his pocket money on drinks.
i. Fraction spent on biscuit and plantain chips:
The boy spent 2/5 of his pocket money on biscuits and 1/4 on plantain chips. To find the total fraction, we need to add these two fractions:
2/5 + 1/4
To add fractions with different denominators, we need to find a common denominator. In this case, the smallest common multiple of 5 and 4 is 20.
2/5 can be written as (2/5) * (4/4) = 8/20
1/4 can be written as (1/4) * (5/5) = 5/20
Now, we can add the fractions:
8/20 + 5/20 = 13/20
Therefore, the boy spent 13/20 of his pocket money on biscuit and plantain chips.
ii. Fraction spent on drinks:
The remainder of the boy's pocket money is spent on drinks. To find this fraction, we subtract the fraction spent on biscuit and plantain chips from 1 (whole):
1 - 13/20 = 7/20
Therefore, the boy spent 7/20 of his pocket money on drinks.