Question

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 non-blooming annuals cost $1.50 each. You bought a total of 24 plants for $49.6. Write a linear system of equations that you can use to find how many of each type of plant you bought.

Answer 1

The System of equation representing number of each plant bought is
`\left \{ {{x+y=24} \atop {3.20x+1.50y =49.6}} \right.`.

Explanation:

Given:

Total number of plants bought = 24

The plants you have picked out are blooming annuals and non-blooming annuals.

Let the Number of blooming annuals plants be 'x'.

Also Let the Number of non-blooming annuals plants be 'y'.

So we can say that;

Total number of plants bought is equal to sum of the Number of blooming annuals plants and the Number of non-blooming annuals plants.

framing in equation form we get;

`x+y=24 \ \ \ \ equation \ 1`

Also Given:

Cost of blooming annuals = $3.20

Cost of non-blooming annuals = $1.50

Total Cost of Plants which were bought = $49.6

Now we know that;

Total cost of plants which were bought is equal to sum of the Number of blooming annuals plants multiplied by Cost of blooming annuals and the Number of non-blooming annuals plants multiplied by Cost of non-blooming annuals.

framing in equation form we get;

`3.20x+1.50y =49.6 \ \ \ \ equation\ 2`

Hence the System of equation representing number of each plant bought is
`\left \{ {{x+y=24} \atop {3.20x+1.50y =49.6}} \right.`.