Question

Joseph and Dwayne are both selling cookie dough for a fundraiser. Although Joseph has already sold 3 tubs, Dwayne hasn't sold any yet. If Joseph starts selling 8 tubs per day and Dwayne begins selling 9 tubs per day, they will eventually sell the same amount of cookie . How many days will that take ? How many tubs will each sell?

Answer 1

Answer:The number of days it will take to sell the same amount of cookies is 3 and the number of tubs that will be sold is 27

Step-by-step explanation:

Let x represent the number of days it will take either of them to sell the same number of tubs.

Let y represent the total number of tubs that that Joseph will sell in x days.

Let z represent the total number of tubs that that Dwayne will sell in x days.

Joseph has already sold 3 tubs. If Joseph starts selling 8 tubs per day, it means that in x days, the number of tubs that he will sell will be

y = 8x + 3

Dwayne hasn't sold any yet. If Dwayne begins selling 9 tubs per day, it means that in x days, the number of tubs that he will sell will be

z = 9x

To determine the number of days it will take to sell the same amount of cookies, we will equate y to z. It becomes

8x + 3 = 9x

9x - 8x = 3

x = 3

The number of tubs that each will sell will be 9x = 9×3 = 27