1. A rope is cut into three pieces P, Q, and R. The length of the ...
1. A rope is cut into three pieces P, Q, and R. The length of the ...
1. A rope is cut into three pieces P, Q, and R. The length of the ...
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<strong>1.</strong> A <strong>rope</strong> <strong>is</strong> <strong>cut</strong> <strong>into</strong> <strong>three</strong> <strong>pieces</strong> P, Q, <strong>and</strong> R. <strong>The</strong> <strong>length</strong><strong>of</strong> <strong>the</strong> <strong>pieces</strong> are in <strong>the</strong> ratio 3 : 5 : 7. If <strong>the</strong> <strong>rope</strong> <strong>is</strong> 33 feet9 inches long, find <strong>the</strong> <strong>length</strong>s <strong>of</strong> P, Q, <strong>and</strong> R.a. State <strong>length</strong>s <strong>of</strong> P, Q, <strong>and</strong> R in inchesb. State <strong>length</strong>s <strong>of</strong> P, Q, <strong>and</strong> R in feet2. Lara has <strong>three</strong> cats: Socks, Princess, <strong>and</strong> Luna. <strong>The</strong>ratio <strong>of</strong> Sock's weight to Princess's weight <strong>is</strong> 4 : 5. <strong>The</strong>ratio <strong>of</strong> Princess's weight to Luna's weight <strong>is</strong> 6 : 7. What <strong>is</strong><strong>the</strong> ratio <strong>of</strong> Sock's weight to Luna's weight?1
3. <strong>The</strong> ratio <strong>of</strong> <strong>the</strong> number <strong>of</strong> mystery books to <strong>the</strong> number<strong>of</strong> science fiction books <strong>is</strong> 4 : 3. <strong>The</strong> ratio <strong>of</strong> <strong>the</strong> number <strong>of</strong>science fiction books to <strong>the</strong> number <strong>of</strong> biographies <strong>is</strong> 4 : 5.If <strong>the</strong>re are 48 science fiction books, find <strong>the</strong> total number <strong>of</strong>books.4. In a school gym, <strong>the</strong> ratio <strong>of</strong> <strong>the</strong> number <strong>of</strong> boys to <strong>the</strong>number <strong>of</strong> girls was 4 : 3. After 160 boys left <strong>the</strong> gym, <strong>the</strong>ratio became 4 : 5. How many girls were in <strong>the</strong> gym?2
5. <strong>The</strong> ratio <strong>of</strong> <strong>the</strong> number <strong>of</strong> men to <strong>the</strong> number <strong>of</strong> womenon a bus was 2 : 3. At a bus stop, 4 women got <strong>of</strong>f <strong>and</strong> <strong>the</strong>ratio became 4 : 5.a. How many men were on <strong>the</strong> bus?b. How many women were on <strong>the</strong> bus in <strong>the</strong> end?6. Today <strong>the</strong> ratio <strong>of</strong> Elinor's age to her mo<strong>the</strong>r's age <strong>is</strong>3 : 8. After 15 years <strong>the</strong> ratio will become 6 : 1<strong>1.</strong>a. Find Elinor's age today.b. Find her mo<strong>the</strong>r's age after 15 years.3
7. <strong>The</strong>re are 648 cows <strong>and</strong> sheep on a farm. <strong>The</strong> ratio <strong>of</strong><strong>the</strong> number <strong>of</strong> cows to <strong>the</strong> number <strong>of</strong> sheep <strong>is</strong> 5 : 4. At anauction, twothirds <strong>of</strong> <strong>the</strong> sheep <strong>and</strong> some cows are sold.<strong>The</strong> ratio <strong>of</strong> <strong>the</strong> number <strong>of</strong> cows to <strong>the</strong> number <strong>of</strong> sheepleft <strong>is</strong> now 3 : <strong>1.</strong> How many cows are sold?4
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