Mrs. Gargantua got so many compliments about her tasty snack mix that she decided to sell it in stores. (If) the snack mix is made of sea monster scales, which cost \$3.50 per pound, and baby whale barnacles, which are \$5 per pound (How many monster scales are needed to create a 45 pound blend that's worth \$4.50 per pound?)
asked Oct 10, 2017

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Let s=weight of sea monster scales and b=weight of baby whale barnacles.

their total weight is 45lb=s+b  so b=45-s.

Cost of sea monster scales=3.5s and cost of baby whale barnacles=5b=5(45-s)=225-5s.

Cost of mixture=45×4.5=\$202.50.

So 3.5s+225-5s=202.5; so 22.5=1.5s and s=15lb.

So the amount of sea monster scales is 15lb (and 30lb of baby whale barnacles).

answered Oct 12, 2017 by Top Rated User (569,800 points)