)) The gardening store sells clay flower pots, which hold 7 liters of dirt, and ceramic flower
pots, which hold 6 liters. Lucy bought 7 flower pots, which will hold a total of 47 liters of dirt.
How many of each type of flower pot did she buy?
))
clay flower pots
ceramic flower pots
Submit

Clay flower pots: 5

Ceramic flower pots: 2

Step-by-step explanation:

One way to solve this problem is algebraically.

Let's start by labelling clay flower pots x and ceramic flower pots y.

There is a total of 7 flower pots. This means x + y= 7.

The total number of liters of dirt is 47. This can be represented by 7x + 6y= 47. The 6 and 7 represent the liters of dirt that pot can hold.

The next step is elimination.

x + y = 7

7x + 6y = 47

To eliminate, we need to have one pair of coefficients the same with different signs. (ex. 6x and -6x)

To do this we need to multiply x + y = 7 by -6.

-6(x + y = 7)

This results in -6x + -6y = -42. Now we can eliminate one of the variables.

-6x + -6y = -42

7x + 6y = 47

Subtract as normal.

1x = 5 or x = 5

If she bought five clay flower pots, she must have bought 2 ceramic pots.

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Step-by-step explanation: