Rose-r-red has offered to sell its roses for a fixed down payment of 20 and an additional charge of 0.75 per stem. the flower power has offered to sell its roses for a fixed down payment of 60 and an additional charge of 0.50 per stem find the number of roses for which the companies charges will be the same

Both companies should sell 80 roses to charge the same

Step-by-step explanation:

Crossing of Lines

When two lines are drawn and they are not parallel, the cross at a certain point P(a,b). That point is the solution to the system of equations modeled by them.

Rose-R-Red sells its roses for a fixed down payment of $20 and an additional charge of $0.75 per stem. If x is the number of items sold by them then the charge is

The Flower Power sells its roses for a fixed down payment of $60 and an additional charge of $0.50 per stem. The function for their charge is

To know the number of roses for which both companies charges will be the same, we set

Or equivalently

So both companies should sell 80 roses to charge the same

10 cats were at the shelter on Monday.

Step-by-step explanation:

Let x represent the number of cats were at the shelter on Monday.

Let y represent the number of dogs were at the shelter on Monday.

Layla found a record showing that there were a total of 15 cats and dogs on Monday. This means that

x + y = 15

The animal shelter spends $3.00 per day to care for each cat and $5.50 per day to care for each dog. Layla noticed that the shelter spent $57.50 caring for cats and dogs on Monday. This means that

3x + 5.5y = 57.5 - - - - - - - - - - - - -1

Substituting x = 15 - y into equation 1, it becomes

3(15 - y) + 5.5y = 57.5

45 - 3y + 5.5y = 57.5

- 3y + 5.5y = 57.5 - 45

2.5y = 12.5

y = 12.5/2.5

y = 5

x = 15 - y = 15 - 5

x = 10