Question 1187869
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Here is a quick informal way to solve any "mixture" problem like this -- if a formal algebraic solution is not required.<br>
Where the cost per gram of the mixture lies between the costs per gram of each ingredient determines the ratio in which the two ingredients must be mixed.<br>
Look at the three costs per gram on a number line -- 9, 9.7, and 12.5 -- and observe/calculate that 9.7 is 1/5 of the way from 9 to 12.5: (9.7-9)/(12.5-9) = 0.7/3.5 = 1/5<br>
That means 1/5 of the mixture is the more expensive ingredient.<br>
ANSWER: 1/5 of 25g, or 5g, of nutmeg; the other 20g of cinnamon<br>