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Ratio

Ratio. Worksheet 1. 1. 1/4 of Jane's weight is equal to 2/5 of Lily's weight. Find the ratio of Jane's weight to Lily's weight. Jane Lily.

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Ratio

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  1. Ratio Worksheet 1

  2. 1. 1/4 of Jane's weight is equal to 2/5 of Lily's weight. Find the ratio of Jane's weight to Lily's weight. Jane Lily

  3. 2. The ratio of Paul's weight to Mark's weight is 5:6. If Paul's weight is increased by 4 kg and Mark's weight is decreased by 3 kg, Paul will have the same weight as Mark. What is Paul's original weight? Paul Mark 4kg 3kg What does 1 unit represent in terms of kg?

  4. 3. In 2002, the ratio of the number of girls to the number of boys in the Science Club was 6:7. In 2003, 12 girls left the Science Club and the new ratio of the number of girls to the number of boys was 9:14. How many members were in the Science Club in 2002? 2002 2003 When the girls left, were there any change to the number of boys? What should we do with the original 7 units of boys to make it into 14 units? Now we have to complete the 2003 model with the 9 units of girls How many units represent the 12 girls who left? Always find the value of 1 unit.

  5. 4. If 1/3 of the water in bottle A is poured into bottle B and then 1/3 of the water in bottle B is poured into bottle A, the new ratio of the amount of water in bottle A to the amount of water in bottle B will be 5:6. Find the original ratio of the amount of water in bottle A to the amount of water in bottle B. Let’s write what we know first A B

  6. 4. If 1/3 of the water in bottle A is poured into bottle B and then 1/3 of the water in bottle B is poured into bottle A, the new ratio of the amount of water in bottle A to the amount of water in bottle B will be 5:6. Find the original ratio of the amount of water in bottle A to the amount of water in bottle B. Let’s RETURN the amount to respective bottles. A B Working backwards, we must return ⅓ of the water from A to B. That means, the amount left in B is ⅔, which is 6 units. So how many units must A return to B?

  7. 4. If 1/3 of the water in bottle A is poured into bottle B and then 1/3 of the water in bottle B is poured into bottle A, the new ratio of the amount of water in bottle A to the amount of water in bottle B will be 5:6. Find the original ratio of the amount of water in bottle A to the amount of water in bottle B. Let’s RETURN the amount to respective bottles. A B We must return 3 units from A to B

  8. 4. If 1/3 of the water in bottle A is poured into bottle B and then 1/3 of the water in bottle B is poured into bottle A, the new ratio of the amount of water in bottle A to the amount of water in bottle B will be 5:6. Find the original ratio of the amount of water in bottle A to the amount of water in bottle B. Let’s RETURN the amount to respective bottles. A B Then we return ⅓ of the amount of A, from B to A If what is left in A is ⅔ of the amount, how many units is that? So how many units must we move from B to A?

  9. 4. If 1/3 of the water in bottle A is poured into bottle B and then 1/3 of the water in bottle B is poured into bottle A, the new ratio of the amount of water in bottle A to the amount of water in bottle B will be 5:6. Find the original ratio of the amount of water in bottle A to the amount of water in bottle B. Let’s RETURN the amount to respective bottles. A B Then we return ⅓ of the amount of A, from B to A Can you find the new ratio of the amount of water in bottle A to the amount of water in bottle B? If what is left in A is ⅔ of the amount, how many units is that? So how many units must we move from B to A?

  10. 5. Lisa has some beads. 1/3 of them were red, 1/4 of the remainder are blue and the rest are yellow. Find the ratio of the number of blue beads to that of red beads to that of yellow beads. Let’s write the first part in a model. Can we subdivide the 2 units (remainder) into ¼s? Can you solve the sum?

  11. A B • 6. The area of the shaded portion is 1/6 of the area of rectangle A and 2/7 of the area of square B. What is the ratio of the area of the shaded portion to that of the unshaded portion of the figure? Let’s put the information into a model Since the shaded portion should be the same size, it is represented in red. Can you determine the number of units that is shaded? Bear in mind, the 2 rectangles share the same shaded area. So how many units are shaded and unshaded?

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