A spice mixture contains 75% pepper and 25% salt, while a chili mixture is composed of 60% red chili and 40% green chili powder. If you want to create a total of 250g of the final mixture that includes 25g of salt, how much of each mixture should be combined?

Correct answer marked below

75 grams spice and 175 grams chili

80 grams spice and 170 grams chili

90 grams spice and 160 grams chili

125 grams spice and 125 grams chili

100 grams spice and 150 grams chili

Correct

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Explanation

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Official Explanation

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Let x be the amount of spice mixture and y be the amount of chili mixture. The spice mixture has 25% salt, so the amount of salt from the spice is

(\frac{1}{4})x

. The chili mixture has no salt, so the total amount of salt in the final mixture is just from…

Comments

MapFeb 6, 2024

Thanks for sharingThank you for sharing!!thanks for sharing

liaDec 6, 2024

appreciated!

ChahitaApr 23

Thanks, this one was pretty straightforward once I realized the chili doesn't add any salt.

SarveshApr 26

Right, that's the whole trick. Only the spice mix brings salt, so the rest is easy.

What this question tests

Your ability to reason about weighted averages and the composition of mixtures.

Averaging the percentages of two solutions without weighting by their volumes.