Question

how many ounces of asian treasure tea sells for $7.50/oz should be mixed with pearadise tea that sells for $5.00/oz so that 60oz mixture is obtained

Answer 1

So we can name each tea with a variable. Asian Treasure tea to be a and Pearadise Tea to be p.

Answer 2

With a mixture of Asian Treasure tea and Pearadise Tea being 60oz. And we want to find much Asian Treasure tea sells at $7.50/oz. we also need the individual mixture.

Answer 3

For the first equation, it will be a + p = 60 (mixture of Asian Treasure tea and Pearadise Tea)
For the second equation, it will be a = 60 - p (this represents how much Asian Treasure Tea)

Answer 4

We know how much Asian Treasure is sold for which is $7.50, Pearadise Tea is sold for $5.00 and the mixture is sold for $6.00

Answer 5

We'll then multiply the values to the respective variables and number. With a being the Asian Treasure tea that is multiplied by 7.50, Pearadise Tea which is p is multiplied by 5.00 and 60 which accounts for the mixture is multiplied by 6.00. This is for equation 1.

Answer 6

We'd then substitute equation 2 in this equation.

Answer 7

We now have p being the only variable in this equation. This equation is then simplified by keeping the variables on one side and the numbers on one side.

Answer 8

Now that we have the value of p, we can substitute this value in equation 2 which will help us to find a.

Answer 9

So the ounces of Asian Treasure tea, a is 24 ounces and ounces of Pearadise Tea, p is 36 ounces.