Essie and Ruby sell Blu-Ray players. Last month Essie sold 35 less Blu-Ray players than Ruby. Together they sold 145. How many Blu-Ray players did Essie sell?

To find out how many Blu-Ray players Essie sold, we need to set up an equation based on the information given.

Let's say Essie sold x Blu-Ray players.

According to the problem, Ruby sold 35 more Blu-Ray players than Essie. So, Ruby sold (x + 35) Blu-Ray players.

Together, Essie and Ruby sold a total of 145 Blu-Ray players. Therefore, we can write the equation as:

x + (x + 35) = 145

Now, we can solve this equation to find the value of x, which represents the number of Blu-Ray players Essie sold.

Combining like terms, we get:

2x + 35 = 145

Subtracting 35 from both sides, we have:

2x = 145 - 35

Simplifying further:

2x = 110

Finally, dividing both sides by 2:

x = 110 / 2

x = 55

Therefore, Essie sold 55 Blu-Ray players.

Let's solve this step-by-step.

Let's assume the number of Blu-Ray players Ruby sold last month is R.

According to the information given, Essie sold 35 less than Ruby, so the number of Blu-Ray players Essie sold is R - 35.

Together, Essie and Ruby sold a total of 145 Blu-Ray players, so we can write the equation:

(Ruby's sales) + (Essie's sales) = 145

R + (R - 35) = 145

Combining like terms, we get:

2R - 35 = 145

Adding 35 to both sides of the equation, we get:

2R = 180

Finally, dividing both sides of the equation by 2, we find the value of R:

R = 180 / 2

R = 90

So, Ruby sold 90 Blu-Ray players last month.

To find out how many Blu-Ray players Essie sold, we substitute the value of R into the expression R - 35:

Essie's sales = 90 - 35 = 55

Therefore, Essie sold 55 Blu-Ray players last month.

Let x = the number that Ruby sold.

x + x - 35 = 145

2x = 180

x = 90