nick and his sister, Laura love to use homemade spread on their bagles. when nick makes a batch, he uses 12 ounces of orange marmalade and 16 ounces of cream cheese. when laura makes a batch she uses 8 ounces of orange maramlade and 12 ounces of cream cheese. whose bagel tastes fruiter?

Question

a. nicks bagel
b. lauras bagel
c. neither the bagel spread taste the same

Answer 1

To determine whose bagel spread tastes fruitier, we can calculate the ratio of orange marmalade to cream cheese in each of their spreads.

For Nick:

• Orange marmalade: 12 ounces
• Cream cheese: 16 ounces

The ratio of orange marmalade to cream cheese for Nick is: \[ \frac{12 \text{ ounces}}{16 \text{ ounces}} = \frac{12}{16} = \frac{3}{4} \]

For Laura:

• Orange marmalade: 8 ounces
• Cream cheese: 12 ounces

The ratio of orange marmalade to cream cheese for Laura is: \[ \frac{8 \text{ ounces}}{12 \text{ ounces}} = \frac{8}{12} = \frac{2}{3} \]

Now we compare the two ratios:

• Nick's ratio: \(\frac{3}{4} = 0.75\)
• Laura's ratio: \(\frac{2}{3} \approx 0.6667\)

Since Nick's ratio (0.75) is greater than Laura's ratio (approximately 0.6667), Nick's bagel spread has a higher proportion of orange marmalade, making it taste fruitier.

Therefore, the answer is: a. Nick's bagel