A boy went to a supermarket and spends 2/5 of his pocket money on biscuit, 1/4 on plantain chips and the remainder on drinks. i.wha fraction did he spend on plantain chips and biscuit ii.What fraction did he spend on drinks
2/5+1/4 = 8/20+5/20 = 13/20 spent on biscuit and plantain.
20/20-13/20 = 7/20 spent on drinks.
5/12
To find the fractions, we need to add up the fractions spent on biscuit and plantain chips, and then subtract the result from 1 to find the fraction 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.
To find the fraction that the boy spent on biscuit and plantain chips, we need to add the fractions together.
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.