Emily wants to buy turquoise stones on her trip to New MExico to give to at least 4 of her friends. The gift shop sells stones for either $4 or $6 per stone. Emily has no more than $30. I have no clue how to work this out!!!
30/4 = 7.5
So she could give $4.00 stones to 7 of her friends.
30/6 = 5
So she could give $6.00 stones to 5 of her friends.
To help Emily figure out how many turquoise stones she can buy for her friends within her budget, we can break down the problem into smaller steps:
1. Determine the cost of each type of stone:
- The gift shop sells two types of stones: $4 per stone and $6 per stone.
2. Calculate the minimum and maximum number of stones Emily can buy:
- Let's assume Emily wants to buy the $4 stones as much as possible to maximize the number of gifts she can give.
- The maximum number of $4 stones Emily can afford is obtained by dividing her budget ($30) by the cost per $4 stone (4).
- The minimum number of $4 stones Emily can buy is zero.
3. Compute the maximum number of $6 stones Emily can afford:
- To determine the maximum number of $6 stones Emily can purchase, divide her remaining budget by the cost per $6 stone.
- Subtract the quantity of $6 stones from the maximum number of $4 stones possible to derive the minimum number of $4 stones she should purchase.
4. Find the combinations that could fulfill the requirements:
- Since Emily wants to give stones to at least 4 friends, she can start with the minimum number of $4 stones and adjust the number of $6 stones accordingly to reach a total of at least 4 stones.
- Begin with 0 $4 stones and calculate how many $6 stones she can afford.
- Increment the number of $4 stones by 1 and recalculate the number of $6 stones until the total number of stones is at least 4.
By following these steps, Emily can determine the combinations of $4 and $6 stones she can buy within her budget to give to her friends.