Question

Valeria and Christina both want to run for class president. In order to appear on the ballot,

they must collect a certain number of signatures. So far, Valeria has 26 signatures and
Christina has 53. Now, Valeria is collecting signatures at a rate of 6 per day, whereas
Christina is collecting 3 signatures per day.
Assuming that their rates stay the same, the two will eventually collect the same number of
signatures. How many signatures will they both have at that time? How many days will it
take?

Answer 1

Valeria and Christina will both have the same number of signatures in x days. By solving the equation 26 + 6x = 53 + 3x, we can find how many days it will take for them to collect the same number of signatures.

Step-by-step explanation:

Valeria is currently collecting signatures at a rate of 6 per day, while Christina is collecting signatures at a rate of 3 per day. To determine when they will both have the same number of signatures, we can set up an equation:

26 + 6x = 53 + 3x

Where x represents the number of days. By solving this equation, we can find how many days it will take for them to collect the same number of signatures.