Explore a world of knowledge and get your questions answered on IDNLearn.com. Explore a wide array of topics and find reliable answers from our experienced community members.

Two girls have 91 pence between them. If the first has six times as much as the other, how much does the second have?

Sagot :

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.
We appreciate your contributions to this forum. Don't forget to check back for the latest answers. Keep asking, answering, and sharing useful information. Thank you for trusting IDNLearn.com. We’re dedicated to providing accurate answers, so visit us again for more solutions.