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A store sold X total items of three different types: jackets, sweaters, and sweatshirts, in two brands: Adidas and Nike. 40% of the total sold items are jackets, and the ratio of total jackets to total sweatshirts sold by the store is 10:9. The ratio of total Adidas to Nike sweaters sold by the store is 7:5, and 60% of the total jackets sold by the store are Adidas brand. There are 40 Nike sweatshirts sold by the store, and the store sold 170 Nike-brand items. Find the difference between the total Adidas and Nike items sold by the store.

1. 160
2. 120
3. 180
4. 140

Correct answer: 140

Solution

Using the given ratios and percentages, the total counts of jackets, sweaters, and sweatshirts can be determined. After splitting each category into Adidas and Nike, the total Adidas items exceed Nike items by 140.

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