Sure, let's solve this step by step.
### Part (a)
We need to convert £920 into dollars. We know the conversion rate is £1 = [tex]$1.58.
So, the conversion can be done using the following formula:
\[ \text{Dollars} = \text{Pounds} \times \text{Conversion Rate} \]
Given:
\[ \text{Pounds} = 920 \]
\[ \text{Conversion Rate} = 1.58 \]
Therefore:
\[ \text{Dollars} = 920 \times 1.58 \]
\[ \text{Dollars} = 1453.60 \]
So, £920 is equivalent to $[/tex]1453.60.
### Part (b)
We need to convert [tex]$553 into pounds. Here, we use the conversion rate £1 = $[/tex]1.58.
We can find the pounds using the following formula:
[tex]\[ \text{Pounds} = \frac{\text{Dollars}}{\text{Conversion Rate}} \][/tex]
Given:
[tex]\[ \text{Dollars} = 553 \][/tex]
[tex]\[ \text{Conversion Rate} = 1.58 \][/tex]
Therefore:
[tex]\[ \text{Pounds} = \frac{553}{1.58} \][/tex]
[tex]\[ \text{Pounds} = 350.00 \][/tex]
Thus, [tex]$553 is equivalent to £350.00.
So, summarizing our results:
- £920 is $[/tex]1453.60.
- $553 is £350.00.
