Let's break down the question and solve it step-by-step:
1. Fraction of Pocket Money Spent on Chewing Gum:
Elvis spends [tex]\(\frac{21}{200}\)[/tex] of his pocket money on chewing gum. Converting this fraction into a decimal:
[tex]\[
\frac{21}{200} = 0.105
\][/tex]
2. Fraction of Pocket Money Left:
Elvis has 0.546 of his pocket money remaining.
3. Total Fraction of Pocket Money Accounted For:
To find the total fraction of pocket money that is either spent or remaining, we add the fraction spent on chewing gum and the fraction left:
[tex]\[
\text{Total Fraction} = 0.105 + 0.546 = 0.651
\][/tex]
So, to summarize:
- Elvis spends 0.105 (or [tex]\(\frac{21}{200}\)[/tex]) of his pocket money on chewing gum.
- He has 0.546 of his pocket money left.
- The sum of these fractions is 0.651.
This means that 0.651 of Elvis's total pocket money is either spent or remaining, which accounts for the entire amount of the pocket money.
