Ratio Proportion Worksheet

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ZĂƚŝŽ

džĞƌĐŝƐĞ džϭ͗dŚĞĐŽƐƚŽĨϳϬϬŝƚĞŵƐĂƚΨϭ͘ϱϬƉĞƌϭϬϬ͘  DĂŶLJƚŝŵĞƐ͕ǁĞŵĂLJŚĂǀĞƚŽŐĂƚŚĞƌŝŶĨŽƌŵĂƚŝŽŶĨƌŽŵƚŚĞƉƌŽďůĞŵƚŚĂƚŝƐŶŽƚĚŝƌĞĐƚůLJƐƚĂƚĞĚ͘ 'ĂƚŚĞƌŝŶŐƚŚŝƐŝŶĨŽƌŵĂƚŝŽŶŝƐĐĂůůĞĚŝŶĨĞƌƌŝŶŐ͘

 džϮ͗ǁŝƌĞŽĨƵŶŝĨŽƌŵĚĞŶƐŝƚLJĂŶĚĐŽŵƉŽƐŝƚŝŽŶǁĞŝŐŚƐϯϮƉŽƵŶĚƐ͘/ƚŝƐĐƵƚŝŶƚŽϮ ƉŝĞĐĞƐ͘KŶĞŝƐϲϬĨĞĞƚĂŶĚϮϰƉŽƵŶĚƐ͕ǁŚĂƚŝƐƚŚĞůĞŶŐƚŚŽĨƚŚĞŽƌŝŐŝŶĂůƉŝĞĐĞ͍ džϯ͗KĨϵϬƐƚƵĚĞŶƚƐŝŶƚŚĞĐůĂƐƐ͕ƚŚĞƌĂƚŝŽŽĨďŽLJƐƚŽŐŝƌůƐŝƐϮ͗ϯ͘,ŽǁŵĂŶLJŐŝƌůƐ͍ džϰ͗ϱŽƌĂŶŐĞƐĐŽƐƚĐĐĞŶƚƐ͘,ŽǁŵĂŶLJĐĂŶďĞďŽƵŐŚƚĨŽƌLJĚŽůůĂƌƐ͍ džϱ͗/ĨdžŝƐŬйŽĨLJ͕ǁŚĂƚйŽĨLJŝƐŬdž͍  KŶĞŵŽƌĞŝŵƉŽƌƚĂŶƚƉŽŝŶƚŝŶƌĂƚŝŽƐŝƐƚŚĞŽƌĚĞƌ͘&ŽƌĞdžĂŵƉůĞ͕ϭ͗ϱŝƐŶŽƚĞƋƵĂůƚŽϱ͗ϭ͘ 

džϲ͗/ŶĂďĞĂƵƚŝĨƵůŐĂƌĚĞŶ͕ϭͬϱƚŚŽĨƚŚĞĨůŽǁĞƌŝŶŐƉůĂŶƚƐƌĞƉƌĞƐĞŶƚϭͬϭϬƚŚŽĨĂůůƚŚĞ ĨůŽǁĞƌŝŶŐƉůĂŶƚƐ͘tŚĂƚŝƐƚŚĞƌĂƚŝŽŽĨĨůŽǁĞƌŝŶŐƉůĂŶƚƐƚŽŶŽŶĨůŽǁĞƌŝŶŐƉůĂŶƚƐ͍ džϳ͗ũĂƌĐŽŶƚĂŝŶƐďůƵĞĂŶĚƌĞĚŵĂƌďůĞƐ͕ϮϬŝŶĂůů͘ĂĐŚŽĨƚŚĞĨŽůůŽǁŝŶŐĐĂŶďĞŝŶƚŚĞ ƌĂƚŝŽŽĨďůƵĞƚŽƌĞĚĞdžĐĞƉƚ͕ ͘ ͘ ͘ ͘ ͘

ϭ͗ϭ ϯ͗Ϯ ϰ͗ϭ ϱ͗ϭ ϵ͗ϭ

/ŶƚĞƌĞƐƚŝŶŐĂŶƐǁĞƌƐĨŽƌƚŚĞƋƵĞƐƚŝŽŶƐ͗ džϭ͗ΨϭϬ͘ϱϬ džϮ͗ϴϬĨƚ džϯ͗'ŝƌůƐĂƌĞϱϰ͘





ZĂƚŝŽ

džϰ͗ϱϬϬLJͬĐ džϱ͗ŬϮƉĞƌĐĞŶƚ͘ džϲ͗ZĂƚŝŽŝƐϭͬϭ džϳ͗ŝƐŶŽƚƉŽƐƐŝďůĞ ƌŝĞĨŶŽƚĞƐŽŶƉƌŽƉŽƌƚŝŽŶ /ƚŝƐĂƐƚĂƚĞŵĞŶƚƚŚĂƚƚǁŽƌĂƚŝŽƐĂƌĞĞƋƵĂů͘ϯͬϰсϲͬϴŝƐĂŶĞdžĂŵƉůĞŽĨĂƉƌŽƉŽƌƚŝŽŶ͘/ĨĂŶLJ ŽŶĞŶƵŵďĞƌŝŶĂƉƌŽƉŽƌƚŝŽŶŝƐƵŶŬŶŽǁŶ͕ǁĞŵĂLJĐƌŽƐƐŵƵůƚŝƉůLJƚŽŐĞƚƚŚĞĂŶƐǁĞƌŚĞŶĐĞ ƐŽůǀŝŶŐƚŚĞƉƌŽƉŽƌƚŝŽŶ͘dŚĞƵŶŬŶŽǁŶŶƵŵďĞƌŝƐŽĨƚĞŶŝŶĚŝĐĂƚĞĚĂƐƋƵĞƐƚŝŽŶŵĂƌŬƐŽƌ ůĞƚƚĞƌƐ͘ >Ğƚ͛ƐƐŽůǀĞƚŚĞƐĞ džϴ͗





/ĨϮͬϯŽĨƚŚĞƉĞƌŝŵĞƚĞƌŽĨĂŶĞƋƵŝůĂƚĞƌĂůƚƌŝĂŶŐůĞŝƐϭϮ͕ƚŚĞƉĞƌŝŵĞƚĞƌŝƐ͘͘ ͘ ͘ ͘ ͘

ϴ ϭϲ Ϯϰ ϯϲ

džϵ͗KŶĂŵĂƉ͕ƚǁŽĐŝƚŝĞƐĂƌĞϮ͘ϰ͟ĂƉĂƌƚĂƌĞƌĞĂůůLJϭϮŵŝůĞƐĂƉĂƌƚ͘tŚĂƚŝƐƚŚĞůĞŶŐƚŚŽĨ ĂϬ͘Ϯ͟ƐƚƌĂŝŐŚƚƌŽĂĚ͍    

DĂƉƌĞĂĚŝŶŐ͕ŶĂǀŝŐĂƚŝŽŶĂŶĚƌĂŶŐĞĨŝŶĚŝŶŐĂƌĞĨƵŶĚĂŵĞŶƚĂůƚŽ ƚŚĞǁŽƌŬŽĨĂŶLJĂƌŵĞĚĨŽƌĐĞƐ͘'ŽŽĚŵĂƉƌĞĂĚŝŶŐƐŬŝůůƐ ƌĞůLJŽŶĂƉƉůŝĐĂƚŝŽŶŽĨƌĂƚŝŽƐĂŶĚƵŶĚĞƌƐƚĂŶĚŝŶŐŽĨ ƌĞůĂƚŝǀĞƐĐĂůĞ͘





ZĂƚŝŽ

 džϭϬ͗^ƵŐĂƌĐŽƐƚƐŵĐĞŶƚƐƉĞƌƉŽƵŶĚ͘,ŽǁŵĂŶLJƉŽƵŶĚƐĐĂŶďĞďŽƵŐŚƚĨŽƌϲĚŽůůĂƌƐ͍ džϭϭ͗/ŶĂϭϬͲƉŽƵŶĚƐŽůƵƚŝŽŶŽĨǁĂƚĞƌĂŶĚĂůĐŽŚŽů͕ƚŚĞƌĂƚŝŽŽĨŵĂƐƐŽĨǁĂƚĞƌƉĞƌ ĂůĐŽŚŽůŝƐϯ͗Ϯ͘ϲͲƉŽƵŶĚƐŽůƵƚŝŽŶŚĂǀŝŶŐϮƉĂƌƚƐǁĂƚĞƌƚŽŽŶĞƉĂƌƚĂůĐŽŚŽůŝƐĂĚĚĞĚƚŽ ƚŚĞϭϬͲƉŽƵŶĚƐŽůƵƚŝŽŶ͘tŚĂƚĨƌĂĐƚŝŽŶŽĨƚŚĞŶĞǁƐŽůƵƚŝŽŶŝƐĂůĐŽŚŽů͍ džϭϮ͗  

YĂŶĚZĂƌĞƚǁŽƉŽŝŶƚƐƚŽƚŚĞƌŝŐŚƚŽĨŽŶƚŚĞŶƵŵďĞƌůŝŶĞ͘ϮYсϯZ͕tŚĂƚŝƐZYͬZ͍ džϭϯ͗ϰсϱ͕ĂϯсϮͬĐ͕ǁƌŝƚĞĂŝŶƚĞƌŵƐŽĨĐ͘ džϭϰ͗ƚĂĐĞƌƚĂŝŶƐĐŚŽŽů͕ĂůŝƚĞƌƐŽĨŵŝůŬĂƌĞŶĞĞĚĞĚƉĞƌǁĞĞŬƉĞƌƐƚƵĚĞŶƚ͘ƚƚŚĂƚƌĂƚĞ͕ď ůŝƚĞƌƐǁŝůůƐƵƉƉůLJĐƐƚƵĚĞŶƚƐĨŽƌŚŽǁŵĂŶLJǁĞĞŬƐ͍ 



ƒ˜‡›‘—Š‡ƒ”†‘ˆƒ”ƒ–‹‘‹‹Žǡ™Š‹…Š‹•…ƒŽŽ‡†–Š‡Dz‹‡”ƒŽ• ”ƒ–‹‘dzǤ›’—”‡‹ŽŠƒ•–Š‡‹‡”ƒŽ•…ƒŽ…‹—ƒ†’Š‘•’Š‘”—• ‹–Š‡”ƒ–‹‘ʹǣͳǤ‹Ž…ƒŽ…‹—‹•‘”‡„‹‘Ž‘‰‹…ƒŽŽ›ƒ˜ƒ‹Žƒ„Ž‡–Šƒ ‹ƒ›…‡”‡ƒŽ•ƒ†˜‡‰‡–ƒ„Ž‡•Ǥƒ–‹‘•ƒ”‡‡˜‡”›™Š‡”‡Ǥ







   ŶƐǁĞƌƐ͗ džϴ͗ϭϴ džϵ͗ϭ džϭϬ͗ϲϬϬͬŵƉŽƵŶĚƐ džϭϭ͗ϯͬϴĂůĐŽŚŽů džϭϮ͗ZYͬZсϭͬϮ





ZĂƚŝŽ

 

Z

Y

džϭϯ͗ĂсϱĐͬϮ džϭϰ͗ď;ϭͬĂĐͿсďͬĂĐ YƵĞƐƚŝŽŶƐ͗ džϭϱ͗ŐĂƐƚĂŶŬŽŶĂƚƌĂĐƚŽƌŚŽůĚƐϭϴŐĂůůŽŶƐ͘ƚƌĂĐƚŽƌŶĞĞĚƐϳŐĂůůŽŶƐƚŽƉůŽǁϯĂĐƌĞƐ͘ ,ŽǁŵĂŶLJĂĐƌĞƐĚŽĞƐƚŚĞƚƌĂĐƚŽƌƉůŽǁǁŝƚŚĂĨƵůůŐĂƐƚĂŶŬ͍ džϭϲ͗ƉĞŶŐƵŝŶƐǁŝŵƐĂƚϴŵƉĞƌƐĞĐŽŶĚ͘,ŽǁůŽŶŐĚŽĞƐŝƚƚĂŬĞƚŽƐǁŝŵϭϬϬŵ͍ džϭϳ͗/ĨnjŝƐϳϬйŽĨLJ͕ĂŶĚdžŝƐϲϬйŽĨLJ͕ƚŚĞƌĂƚŝŽŽĨnjƚŽdžŝƐͺͺͺͺͺͺͺͺͺͺͺ͘ džϭϴ͗/ƚƚĂŬĞƐϭϬƉĞŽƉůĞϭϮŚŽƵƌƐƚŽĚŽĂũŽď͘,ŽǁŵĂŶLJŚŽƵƌƐǁŝůůŝƚƚĂŬĞĨŽƌϲƉĞŽƉůĞ ƚŽĚŽЬŽĨƚŚĞũŽď͍ džϭϵ͗;ďнĂͿͬďсϮ͕;ĐнĂͿͬĂсϯ͕ďͬĐс͍ džϮϬ͗dŚĞƌĂƚŝŽŽĨZŽŚŝƚ͛ƐƐĂůĂƌLJƚŽƌŝƐ͛ƐƐĂůĂƌLJŝƐϮƚŽϱ͘ dŚĞƌĂƚŝŽŽĨZŽŚŝƚ͛ƐƐĂůĂƌLJƚŽŽƌLJ͛ƐƐĂůĂƌLJŝƐϳƚŽϵ͘ &ŝŶĚƚŚĞƌĂƚŝŽŽĨƌŝƐ͛ƐƚŽŽƌŝ͛Ɛ͘ džϮϭ͗tŚĂƚŝƐƚŚĞƚŚŝĐŬŶĞƐƐŽĨŽŶĞƐŚĞĞƚŽĨƉĂƉĞƌŝĨϱϬϬƐŚĞĞƚƐŝƐϮ͘ϱŝŶĐŚĞƐƚŚŝĐŬ͍ džϮϮ͗tŚĞŶ:ŽŚŶŐŽĞƐƚŽĂŐƌŽĐĞƌLJƐƚŽƌĞĨŽƌĞǀĞƌLJϮŽƌĂŶŐĞƐŚĞďƵLJƐ͕ŚĞƉƵƌĐŚĂƐĞƐϯ ƉĞĂĐŚĞƐ͕ĂŶĚϭĂƉƉůĞ͘:ŽŚŶďŽƵŐŚƚϴŽƌĂŶŐĞƐ͘,ŽǁŵĂŶLJƉĞĂĐŚĞƐĂŶĚŚŽǁŵĂŶLJĂƉƉůĞƐ ĚŝĚŚĞďƵLJ͍ džϮϯ͗ĂŶŶLJ͛ƐƉƌŝŶƚĞƌĐĂŶƉƌŝŶƚϰƉŝĞĐĞƐŽĨƉĂƉĞƌŝŶϭϱƐĞĐŽŶĚƐ͘,ŽǁůŽŶŐǁŝůůŝƚƚĂŬĞƚŽ ƉƌŝŶƚϮϱƉŝĞĐĞƐŽĨƉĂƉĞƌ͍ ŶƐǁĞƌƐ͗ džϭϱ͗ϱϰͬϳĂĐƌĞƐ͘ džϭϲ͗ϭϮ͘ϱƐĞĐŽŶĚƐ͘ džϭϳ͗njͬdžсϳͬϲ



džϭϴ͗ϱŚŽƵƌƐ džϭϵ͗ďͬĐсЪ džϮϬ͗ϯϱͬϭϴ džϮϭ͗Ϯ͘ϱͬϱϬϬсϬ͘ϬϬϱ džϮϮ͗ϭϮƉĞĂĐŚĞƐĂŶĚϰĂƉƉůĞƐ͘ džϮϯ͗ϵϯ͘ϳϱƐĞĐŽŶĚƐ͘                 



ZĂƚŝŽ

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