Kim sells pistachio pleasure containing 80% pistachio nuts and pistachio surprise containing 30% pistachio nuts how much of each 12 pound of a new mix that is 40% pistachio nuts

p = pounds of pistachio pleasure

s = pounds of pistachio surprise

Kim wants a new mixture weighing 12 pounds:

p + s = 12

A pound of pleasure contains 0.8 pound of pistachios, and a pound of surprise contains 0.3 pound of pistachios. Each pound of the new mixture should contain 0.4 pound of pistachios, so the mix should contain 0.4 • 12 = 4.8 pounds:

0.8p + 0.3s = 4.8

Solve the system:

s = 12 - p

0.8p + 0.3(12 - p) = 4.8

0.8p + 3.6 - 0.3p = 4.8

0.5p = 1.2

p = 2.4

s = 12 - 2.4

s = 9.6

24 units

step-by-step explanation: