To compare the costs of red snaps and blue tarts, we first need to calculate the total cost for each type of candy based on the amount you want to buy.
Red Snaps
- Cost: $0.25 per ounce
- Amount: 8 ounces
Total cost for red snaps: \[ 8 , \text{ounces} \times 0.25 , \text{dollars/ounce} = 2.00 , \text{dollars} \]
Blue Tarts
- Cost: $0.30 per pound
- Since we are buying 8 ounces and there are 16 ounces in a pound, we first convert ounces to pounds: \[ 8 , \text{ounces} = \frac{8}{16} , \text{pounds} = 0.5 , \text{pounds} \]
Total cost for blue tarts: \[ 0.5 , \text{pounds} \times 0.30 , \text{dollars/pound} = 0.15 , \text{dollars} \]
Comparison
Now, we will determine how much more expensive the blue tarts are compared to the red snaps: \[ \text{Cost of red snaps} - \text{Cost of blue tarts} = 2.00 , \text{dollars} - 0.15 , \text{dollars} = 1.85 , \text{dollars} \]
Thus, the amount by which red snaps are more expensive than blue tarts is: \[ \text{Red snaps are } 1.85 \text{ dollars more expensive than blue tarts.} \]
However, in terms of how much more it would cost to choose blue tarts over red snaps, we can also express that: \[ \text{Difference} = 2.00 - 0.15 = 1.85 \] So if you buy blue tarts, you would save $1.85 compared to buying red snaps.
In conclusion, blue tarts would cost $1.85 less than red snaps for the same weight of candy.
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