Question 1186887: Anne is planning to improve her trail mix recipe by adding some chocolate chips. Her original trail mix costs 430php/500g, and she can afford to spend 70php/500g more for a more chocolate-y taste. If she buys chocolate chips at 250php/100g, how much more chocolate chips can she add to 500g of her original trail mix? These are the choices, 110/6 grams , 140/3 grams , 200/3 grams , 150/6 grams. I already tried mixing up the values, pls help. thanks in advance.
Answer by CPhill(1959)   (Show Source):
You can put this solution on YOUR website! Here's how to figure out how many chocolate chips Anne can add:
1. **Calculate the total amount Anne can spend on the improved trail mix:**
* Original cost: 430 php/500g
* Extra spending: 70 php/500g
* Total spending: 430 + 70 = 500 php/500g
2. **Calculate how much extra money Anne has for chocolate chips:**
* Extra money: 70 php/500g
3. **Determine how many grams of chocolate chips Anne can buy with that extra money:**
* Chocolate chip cost: 250 php/100g
* To make the units match the extra money we need to know the cost per 500g:
* 250php/100g * 5 = 1250php/500g
* Grams of chocolate chips = (Extra Money / Cost of chocolate chips per 500g) * 500g
* Grams of chocolate chips = (70 php/500g / 1250 php/500g) * 500g
* Grams of chocolate chips = (70/1250) * 500
* Grams of chocolate chips = 28g
So, Anne can add 28 grams of chocolate chips to her 500g of trail mix.
Now let's see which of the multiple choices is correct:
* 110/6 grams = 18.33 grams
* 140/3 grams = 46.67 grams
* 200/3 grams = 66.67 grams
* 150/6 grams = 25 grams
None of the provided multiple choices is correct. The correct answer is 28 grams.
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