you will be making hanging flower baskets. the plants you have picked out are blooming annuals and non-blooming annuals. the blooming annuals cost $3.20 each and the non-blooming annuals cost $1.50 each. you bought a total of 24 plants for $49.60. write a linear system of equations that you can use to find out how many of each type of plant you bought.
b = number of blooming annuals
n = number of non-blooming annuals
3.20b = value of blooming
1.50n = value of non-blooming
b + n = 24
3.20b + 1.50n = 49.60
Solve the system
i do not think that is what my teacher was asking for.
"write a linear system of equations"
This is a linear system of equations.
You can use x and y instead of n and b.
x = number of blooming annuals
y = number of non-blooming annuals
3.20x = value of blooming
1.50y = value of non-blooming
x + y = 24
3.20x + 1.50y = 49.60
Then solve the system.
Have you learned solving simultaneous equations?
This can also be solved using one equation, but the problem asked for a linear system of equations.
24 is the total number of plants.
x = number of blooming annuals
y = number of non-blooming annuals
x + y = 24
okaaaay im starting to get it. so what would the second equation be again? and can you please explain it? =) thanks!
3.20x = value of blooming annuals
3.20 each plant * x number of plants = ttl cost
1.50y = value of non-blooming annuals
1.50 each plant * y number of plants = ttl cost
3.20x + 1.50y = 49.60
ok thanks!
How would you graph this to find how many of each plant you bought?
To write a linear system of equations, we can let:
x = number of blooming annuals
y = number of non-blooming annuals
Now let's set up the equations based on the given information:
1) The cost equation:
The blooming annuals cost $3.20 each, and the non-blooming annuals cost $1.50 each. Since you bought 24 plants for $49.60, we can set up the equation as follows:
3.20x + 1.50y = 49.60
2) The total number of plants equation:
Since you bought a total of 24 plants, we can set up another equation:
x + y = 24
So, the linear system of equations is:
3.20x + 1.50y = 49.60
x + y = 24
You can solve this system of equations to find out the values of x (number of blooming annuals) and y (number of non-blooming annuals).