Need Help -
lisa had a collection of stamps from australia, france and japan. she had 124 stamps from australia. 30% of the stamps were from France. she had 12 fewer stamps from japan than australia.
a) what was the total number of stamps in Lisa's collection?
b) Lisa's aunt gave hers some stamps from France. Her total collection increased by 25%. what % of her collection was from france after that?
A) 310
It is given that there were 124 stamps from Australia. She had 12 fewer stamps from Japan, than Australia. So, subtract 12 from 124 and you get 112.
Then, you know that 30% of the total was from France.
B)149
I don understands
To find the answers to these questions, we can follow a step-by-step process.
a) To determine the total number of stamps in Lisa's collection:
1. We know that Lisa had 124 stamps from Australia.
2. We also know that 30% of her stamps were from France, but we don't know the exact number yet.
3. The number of stamps from Japan is 12 fewer than the number of stamps from Australia.
Let's calculate each of these individually and then add them together to find the total number of stamps in Lisa's collection.
1. Lisa had 124 stamps from Australia.
2. To find the number of stamps from France, we need to calculate 30% of the total collection.
- Convert 30% to a decimal: 30/100 = 0.30
- Multiply the decimal by the total collection: 0.30 * total collection = stamps from France
3. The number of stamps from Japan is 12 fewer than the number of stamps from Australia.
- Subtract 12 from the stamps from Australia: stamps from Australia - 12 = stamps from Japan
Now, let's put these calculations together to find the total number of stamps in Lisa's collection:
Total collection = stamps from Australia + stamps from France + stamps from Japan
b) To calculate the percentage of Lisa's collection that is from France after receiving additional stamps:
1. Lisa's aunt gives her some stamps from France, and her total collection increases by 25%.
2. We need to determine the new number of stamps from France after this increase and find the percentage it represents in the new total collection.
Let's calculate this step by step:
1. Calculate the increase in the total collection by finding 25% of the original total collection.
- Convert 25% to a decimal: 25/100 = 0.25
- Multiply the decimal by the original total collection: 0.25 * original total collection = increase in the collection
2. Add the increase to the original total collection to find the new total collection.
- New total collection = original total collection + increase in the collection
3. Calculate the percentage of Lisa's collection that is from France after the increase.
- Find the new number of stamps from France and divide it by the new total collection.
- Multiply the result by 100 to convert it to a percentage.
Now let's apply these steps to find the answers.