Answer for Day 14 Math Problem

Paint A is 64.02% while Paint B is 35.97%. 🎯

Solution

The problem is under systems of linear equations in (elementary) algebra.

Let a = the percent concentration of Paint A
Let b = the percent concentration of Paint B

Since we are dealing with the average concentrations of the paints, we must divide the combination of the two paints by their total amount.

(2a + b) / 3 = 54.67
(3a + 2b) / 5 = 52.80

The equations above, when simplified, will be:

Equation 1: 2a + b = 164.01
Equation 2: 3a + 2b = 264

• To get the value of a, we should subtract Equation 2 from twice Equation 1, which will give a = 64.02. This means that Paint A has a 64.02% concentration.
• To get the value of b, we should subtract thrice Equation 1 from twice Equation 2, which will give b = 35.97. This means that Paint B has a 35.97% concentration.

Winner: @eturnerx-dbuzz 🏅

1 HIVE has been sent to @eturnerx-dbuzz's Hive account. 💰

Mentions: @jfang003, @ahmadmanga (@ahmadmangazap), and @holovision 🤔
Special mentions: @chrisrice and @jancharlest 🤯