# At a garden shop, a customer pays $48 for 5 geraniums and 4 lilies. Another customer pays $58 for 4 geraniums and 6 lilies. How do you a system of equations you can use to find the cost x, of one geranium and the cost y, of one lily?

##### 1 Answer

Jul 1, 2017

A lily costs $7 and a geranium $4.

#### Explanation:

From the question we can write two equations. let the number of lilies be l and the number of geraniums be g, then:

Multiply the first equation by 4 and the second by 5, the number of lilies in the other, gives:

Subtract the first equation from the second gives:

Substituting the value

Subtract 20 from both side gives:

So, a lily costs $7 and a geranium costs $4.