Achemist has three acid solutions. the first solution contains 15% acid, the second contains 35% and the third contains 65%. he wants to use all three solutions to obtain a mixture of 228 liters containing 25% acid, using 2 times as much of the 65% solution as the 35% solution. how many liters of each solution should be used?

171 liters of 15% acid

19 liters of 35% acid

38 liters of 65% acid

Step-by-step explanation:

If x is the liters of 15% acid, y is the liters of 35% acid, and z is the liters of 65% acid, then:

x + y + z = 228

0.15x + 0.35y + 0.65z = 0.25(228)

z = 2y

Solve the system of equations using elimination or substitution.  Using substitution:

x + y + 2y = 228

x + 3y = 228

x = 228 − 3y

0.15(228 − 3y) + 0.35y + 0.65(2y) = 0.25(228)

34.2 − 0.45y + 0.35y + 1.3y = 57

1.2y = 22.8

y = 19

x = 228 − 3y = 171

z = 2y = 38

The chemist needs 171 liters of 15% acid, 19 liters of 35% acid, and 38 liters of 65% acid.

8

step-by-step explanation:

to find the amount of gift bags to use all the supplies, find the gcf or greatest common factor. this is the largest number which multiplies evenly into each term.

48 has factors: 1, 2, 3, 4, 6, 8, 12. 16, 24, 48

80 has factors: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

64 has factors: 1, 2, 4, 8, 8, 16, 32, 64

the highest number factor they all share in common is 8. this means there will be 8 bags with 6 pencils, 10 markers, and 8 stickers in each bag.

answer: 80,000

step-by-step explanation:

the population doubles every day.

10,000*2=20,000 day 4

20,000*2=40,000 day 5

40,000*2=80,000 day 6