SOLUTION: Domenica buys a 0.056 kilogram segment of her favourite blue vien cheese at a cost o \$25.42 per kilogram. How much does this piece of cheese cost? Round off to the nearest 5 cents

Algebra ->  Algebra  -> Decimal-numbers -> SOLUTION: Domenica buys a 0.056 kilogram segment of her favourite blue vien cheese at a cost o \$25.42 per kilogram. How much does this piece of cheese cost? Round off to the nearest 5 cents      Log On

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 Click here to see ALL problems on decimal-numbers Question 82216: Domenica buys a 0.056 kilogram segment of her favourite blue vien cheese at a cost o \$25.42 per kilogram. How much does this piece of cheese cost? Round off to the nearest 5 centsAnswer by ptaylor(2048)   (Show Source): You can put this solution on YOUR website!Let x=cost of the segment of cheese We can now set up a simple ratio: 1kg is to \$25.42 as 0.056kg is to x and this can be written as: 1/(25.42)=0.056/x multiply both sides by (25.42x) to get rid of fractions 1(25.42x)/(25.42)=0.056(25.42x)/x simplify x=0.056(25.42)=\$1.4235~~~\$1.40----------------for the segment of cheese Check How many (56/1000th) are there in (1000/1000th or 1)? Let k=that number (56/1000)k=(1000/1000) multiply both sides by 1000 k=17.8571 (17.8571)(\$1.4235)=\$25.42 ~\$25.42=\$25.42 Hope this helps---ptaylor