So the best way to do these is concentration1 (%) × volume1 = concentration2 × volume2
Or C1V1 + C2V2 = C3V3, where C1 = 100% (bc ALL pecans), V1 = 6 lbs, C2 = 70%, C3 = 82%:
100%×6 + 70%×v2 = 82%×(6+v2)
100%=1.00, 70%=.7, 82%=.82
note: if none is poured out then v3 = v1+v2
6 + .7v2 = .82 (6+v2)
6 + .7v2 = 4.92 + .82v2
6 + .7v2 -.7v2 = 4.92 + .82v2 -.7v2
6 = 4.92 + .12v2
6-4.92 = 4.92-4.92 + .12v2
1.08 = .12v2
.12v2/.12 = 1.08/.12
v2 = 9 lbs
that's only v2!!!
For the final poundage, we need v3:
v3 = 6 + v2 = 6 + 9 = 15 lbs
Answer:
B, D, C, A
Step-by-step explanation:
The question is asking to put the photographers into least to greast.
For the best case, I suggest you change them into decimals and put them in order.
Photgrapher A: 2/5 = 0.4 = 40%
Photographer B: 4% = 0.04 = 4%
Photographer C: 0.29 = 29%
Photographer D: 27/100 = 0.27 = 27%
Now put them into least to greatest.
Photographer B, Photographer D, Photographer C, And Photographer A
A = 1/2 x bh
A = 1/2 x 5 x 12
A = 6 x 5
A = 30m