Question

Burger Barn makes dipping sauce by mixing 222 spoonfuls of honey with \dfrac12 2 1 ​ start fraction, 1, divided by, 2, end fraction spoonful of mustard. Sandwich Town makes dipping sauce by mixing 444 spoonfuls of honey with 111 spoonful of mustard. Which dipping sauce has a stronger mustard flavor?

Answer 1

Given:

Burger Barn makes dipping sauce by mixing 2 spoonfuls of honey with \dfrac12 2 1 ​ start fraction, 1, divided by, 2, end fraction spoonful of mustard. Sandwich Town makes dipping sauce by mixing 4 spoonfuls of honey with 1 spoonful of mustard.

To find:

Which dipping sauce has a stronger mustard flavour?

Solution:

Burger Barn:

The ratio of spoonfuls of honey & spoonfuls of mustard in the dipping sauce is,

= Honey : Mustard

= $2 : \frac{1}{2}$

multiplying by 2 on both the ratios

= $2 \times 2 : \frac{1}{2} \times 2$

= $4 : 1$

∴ The quantity of mustard used in the dipping sauce = $\frac{1}{1+4 } = \bold{\frac{1}{5}}$

Sandwich Town:

The ratio of spoonfuls of honey & spoonfuls of mustard in the dipping sauce is,

= Honey : Mustard

= $4 : 1$

∴ The quantity of mustard used in the dipping sauce = $\frac{1}{1+4 } = \bold{\frac{1}{5}}$

Thus, the strength of the mustard flavour used in both the dipping sauces is → the same.

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