Question

Ms. johnson owns a spice shop. she combines 5 pounds of dried rose hips and 1 pound of five-spice powder to make a new seasoning. how much should she charge for 1 ounce of the new seasoning if she can sell the dried rose hips for $8 per pound and the five-spice powder for $11 per ounce?

Answer 1

Answer: $2.25

Step-by-step explanation:

5 lbs = 80 oz, so the mixture is worth

80(8/16) + 16(11) = 96x

x = $2.25/oz

Hope this helps!!

Answer 2

Given the 6 pound weight of the new seasoning having ingredients that cost $8, and $11, the amount she should charge for 1 ounce is $0.53125

Which method can be used to calculate the price of the new seasoning?

The ingredients in the new seasoning are;

5 pounds of dried rose hips + 1 pounds of five-spice powder

Cost of the ingredients are;

1 pound of dried rose hips = $8

1 pound of five-spice powder = $11

The cost of combined spice, C, is therefore;

C = $8 × 5 + $11 × 1 = $51

The weight of the new combined seasoning = (5 + 1) pounds = 6 pounds

Cost of 1 pound of the new seasoning is therefore;

$1 \: lb = \frac{51}{6} = 8.5$

• 1 lb of the new seasoning = $8.5

• 1 lb = 16 ounces

Therefore;

$1 \: ounce = \frac{8.5}{16} = \mathbf{0.53125}$

• The amount she should charge for 1 ounce is $0.53125

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