Certainly! Let's determine how much each girl has step-by-step.
1. Define Variables:
- Let the amount of money the second girl has be [tex]\( x \)[/tex].
- Therefore, the first girl has 6 times as much as the second girl, which is [tex]\( 6x \)[/tex].
2. Set Up the Equation:
- Together, they have a total of 91 pence.
- So, we can set up the equation based on their combined money:
[tex]\[
x + 6x = 91
\][/tex]
3. Combine Like Terms:
- Simplify the equation:
[tex]\[
7x = 91
\][/tex]
4. Solve for [tex]\( x \)[/tex]:
- To find [tex]\( x \)[/tex], divide both sides of the equation by 7:
[tex]\[
x = \frac{91}{7}
\][/tex]
- This gives us:
[tex]\[
x = 13
\][/tex]
Thus, the second girl has 13 pence.
5. Substitute to Find the First Girl's Amount:
- Since the first girl has 6 times as much as the second girl:
[tex]\[
6x = 6 \times 13 = 78
\][/tex]
So, the first girl has 78 pence.
In conclusion, the second girl has 13 pence.
