Here are the solutions for each problem on the worksheet. To solve these, we divide the first number by the second number to find the
Rate (the amount per one unit). Then, we simplify the numbers to their smallest whole numbers to find the
Equivalent Ratio.
1) 8 kg in 2 bags (8 : 2)
*
Rate: Divide 8 by 2. $8 \div 2 = 4$. So, it is
4 kg/bag.
*
Equivalent Ratio: Simplify $8:2$ by dividing both sides by 2. This gives
4 : 1.
2) 12 rooms in 3 floors (12 : 3)
*
Rate: Divide 12 by 3. $12 \div 3 = 4$. So, it is
4 rooms/floor.
*
Equivalent Ratio: Simplify $12:3$ by dividing both sides by 3. This gives
4 : 1.
3) 20 mangoes in 5 cartons (20 : 5)
*
Rate: Divide 20 by 5. $20 \div 5 = 4$. So, it is
4 mangoes/carton.
*
Equivalent Ratio: Simplify $20:5$ by dividing both sides by 5. This gives
4 : 1.
4) 55 people in 11 groups (55 : 11)
*
Rate: Divide 55 by 11. $55 \div 11 = 5$. So, it is
5 people/group.
*
Equivalent Ratio: Simplify $55:11$ by dividing both sides by 11. This gives
5 : 1.
5) 24 animals in 4 cages (24 : 4)
*
Rate: Divide 24 by 4. $24 \div 4 = 6$. So, it is
6 animals/cage.
*
Equivalent Ratio: Simplify $24:4$ by dividing both sides by 4. This gives
6 : 1.
6) 32 boys in 8 groups (32 : 8)
*
Rate: Divide 32 by 8. $32 \div 8 = 4$. So, it is
4 boys/group.
*
Equivalent Ratio: Simplify $32:8$ by dividing both sides by 8. This gives
4 : 1.
7) 8 legs in 4 animals (Note: The text says "8 legs", though the parenthesis says 12:4. We will solve based on the text "8 legs")
*
Rate: Divide 8 by 4. $8 \div 4 = 2$. So, it is
2 legs/animal.
*
Equivalent Ratio: Simplify $8:4$ by dividing both sides by 4. This gives
2 : 1.
8) 55 candles in 5 packets (55 : 5)
*
Rate: Divide 55 by 5. $55 \div 5 = 11$. So, it is
11 candles/packet.
*
Equivalent Ratio: Simplify $55:5$ by dividing both sides by 5. This gives
11 : 1.
9) 16 people in 2 cars (16 : 2)
*
Rate: Divide 16 by 2. $16 \div 2 = 8$. So, it is
8 people/car.
*
Equivalent Ratio: Simplify $16:2$ by dividing both sides by 2. This gives
8 : 1.
──────────────────────────────────────
Final Answer:
1) Rate =
4 kg/bag, Equivalent Ratio =
4 : 1
2) Rate =
4 rooms/floor, Equivalent Ratio =
4 : 1
3) Rate =
4 mangoes/carton, Equivalent Ratio =
4 : 1
4) Rate =
5 people/group, Equivalent Ratio =
5 : 1
5) Rate =
6 animals/cage, Equivalent Ratio =
6 : 1
6) Rate =
4 boys/group, Equivalent Ratio =
4 : 1
7) Rate =
2 legs/animal, Equivalent Ratio =
2 : 1
8) Rate =
11 candles/packet, Equivalent Ratio =
11 : 1
9) Rate =
8 people/car, Equivalent Ratio =
8 : 1
Parent Tip: Review the logic above to help your child master the concept of ratios and rates worksheet 6th grade.
