Answer :
Sure, let's solve the problem step-by-step!
Question:
A kangaroo and her joey together have a weight of 84 kg 350 g. The mother kangaroo has a weight of 75 kg 500 g.
1. Find the weight of the joey.
2. How much more weight does the mother kangaroo have than the joey?
Solution:
### Step 1: Convert the given weights to grams
First, we need to convert the weights into grams to simplify the calculations.
- The total weight of the kangaroo and joey is 84 kg 350 g.
[tex]\[
84 \, \text{kg} = 84 \times 1000 \, \text{g} = 84000 \, \text{g}
\][/tex]
Adding the extra 350 g:
[tex]\[
84000 \, \text{g} + 350 \, \text{g} = 84350 \, \text{g}
\][/tex]
- The weight of the mother kangaroo is 75 kg 500 g.
[tex]\[
75 \, \text{kg} = 75 \times 1000 \, \text{g} = 75000 \, \text{g}
\][/tex]
Adding the extra 500 g:
[tex]\[
75000 \, \text{g} + 500 \, \text{g} = 75500 \, \text{g}
\][/tex]
### Step 2: Find the weight of the joey
To find the weight of the joey, we subtract the mother's weight from the total weight.
[tex]\[
84350 \, \text{g} - 75500 \, \text{g} = 8850 \, \text{g}
\][/tex]
Now, convert the joey's weight back to kg and g.
- Convert 8850 g to kg and g:
[tex]\[
\text{Kg portion: } 8850 \, \text{g} \div 1000 = 8 \, \text{kg}
\][/tex]
[tex]\[
\text{Remaining grams: } 8850 \, \text{g} \% 1000 = 850 \, \text{g}
\][/tex]
So, the weight of the joey is 8 kg 850 g.
### Step 3: Find the weight difference between the mother kangaroo and the joey
Next, to find how much more the mother weighs than the joey, we subtract the joey's weight from the mother's weight.
Mother's weight in grams:
[tex]\[
75500 \, \text{g}
\][/tex]
Joey's weight in grams:
[tex]\[
8850 \, \text{g}
\][/tex]
Weight difference:
[tex]\[
75500 \, \text{g} - 8850 \, \text{g} = 66650 \, \text{g}
\][/tex]
Convert the weight difference back to kg and g:
- Convert 66650 g to kg and g:
[tex]\[
\text{Kg portion: } 66650 \, \text{g} \div 1000 = 66 \, \text{kg}
\][/tex]
[tex]\[
\text{Remaining grams: } 66650 \, \text{g} \% 1000 = 650 \, \text{g}
\][/tex]
So, the mother kangaroo weighs 66 kg 650 g more than the joey.
### Final Answer:
(i) The weight of the joey is 8 kg 850 g.
(ii) The mother kangaroo weighs 66 kg 650 g more than the joey.
Question:
A kangaroo and her joey together have a weight of 84 kg 350 g. The mother kangaroo has a weight of 75 kg 500 g.
1. Find the weight of the joey.
2. How much more weight does the mother kangaroo have than the joey?
Solution:
### Step 1: Convert the given weights to grams
First, we need to convert the weights into grams to simplify the calculations.
- The total weight of the kangaroo and joey is 84 kg 350 g.
[tex]\[
84 \, \text{kg} = 84 \times 1000 \, \text{g} = 84000 \, \text{g}
\][/tex]
Adding the extra 350 g:
[tex]\[
84000 \, \text{g} + 350 \, \text{g} = 84350 \, \text{g}
\][/tex]
- The weight of the mother kangaroo is 75 kg 500 g.
[tex]\[
75 \, \text{kg} = 75 \times 1000 \, \text{g} = 75000 \, \text{g}
\][/tex]
Adding the extra 500 g:
[tex]\[
75000 \, \text{g} + 500 \, \text{g} = 75500 \, \text{g}
\][/tex]
### Step 2: Find the weight of the joey
To find the weight of the joey, we subtract the mother's weight from the total weight.
[tex]\[
84350 \, \text{g} - 75500 \, \text{g} = 8850 \, \text{g}
\][/tex]
Now, convert the joey's weight back to kg and g.
- Convert 8850 g to kg and g:
[tex]\[
\text{Kg portion: } 8850 \, \text{g} \div 1000 = 8 \, \text{kg}
\][/tex]
[tex]\[
\text{Remaining grams: } 8850 \, \text{g} \% 1000 = 850 \, \text{g}
\][/tex]
So, the weight of the joey is 8 kg 850 g.
### Step 3: Find the weight difference between the mother kangaroo and the joey
Next, to find how much more the mother weighs than the joey, we subtract the joey's weight from the mother's weight.
Mother's weight in grams:
[tex]\[
75500 \, \text{g}
\][/tex]
Joey's weight in grams:
[tex]\[
8850 \, \text{g}
\][/tex]
Weight difference:
[tex]\[
75500 \, \text{g} - 8850 \, \text{g} = 66650 \, \text{g}
\][/tex]
Convert the weight difference back to kg and g:
- Convert 66650 g to kg and g:
[tex]\[
\text{Kg portion: } 66650 \, \text{g} \div 1000 = 66 \, \text{kg}
\][/tex]
[tex]\[
\text{Remaining grams: } 66650 \, \text{g} \% 1000 = 650 \, \text{g}
\][/tex]
So, the mother kangaroo weighs 66 kg 650 g more than the joey.
### Final Answer:
(i) The weight of the joey is 8 kg 850 g.
(ii) The mother kangaroo weighs 66 kg 650 g more than the joey.
