The hardware store sells orange buckets, which hold 10 liters of water, and teal buckets, which hold 3 liters. Alec bought 14 buckets. His buckets will hold 70 liters in total. How many of each type of bucket did Alec buy?

Alec buy 4 units of orange bucket and 10 units of teal bucket.

What is system of equations?

A set of one or more equations involving numerous variables is referred to as a system of equations. The variable mappings that satisfy all component equations are the solutions to systems of equations, or the points where the components of these equations intersect.

According to the given information, let us denote the quantity of orange bucket be x and teal bucket by y.

Therefore, budget constraints would be:

10x + 3y = 70 ..(1)

It is also given that total number of bucket is 14, such that:

x + y = 14 ..(2)

From equation (2),

x = 14 – y

Plug x = 14 – y in equation (1)

10(14 – y) + 3y = 70

140 – 10y + 3y = 70

140 – 7y = 70

7y = 140 – 70

7y = 70

y = 10

Plug y = 10 in x = 14 – y

⇒ x = 14 – 10

x = 4

Hence, Alec buy 4 units of orange bucket and 10 units of teal bucket.

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