Florence flask has 500 grams of a 72% salt solution. how much water must be added to obtain a 25% salt solution

ooh, fun

find what 72% of 500 is to find how much salt is in there

72% of 500=0.72*500=360g salt

note that 25%=25/100=0.25

if we add x grams of water, then the proprtion wil match

salt/total=25%

360/(500+x)=0.25

multiply both sides by (500+x)

360=0.25(500+x)

divide both sides by 0.25

360/0.25=500+x

minus 500 from both sides

(360/0.25)-500=x

1440-500=x

940=x

you must add 940 grams of water

12cm

the answer is d

answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

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