Joan is preparing sandwiches for a family potluck. She decides to make ham sandwiches and grilled cheese sandwiches. One ham sandwich requires 2 slices of cheese, and one grilled cheese sandwich requires 3 slices of cheese. She uses a total of 50 slices of cheese to make the sandwiches. If she makes 10 ham sandwiches, how many grilled cheese sandwiches does she make? Give the rationale and then the answer.
Let's think step by step. The number of cheese slices used to make the ham sandwiches is 10 * 2 = 20 cheese slices. The number of cheese slices used to make the grilled cheese sandwiches is 50 - 20 = 30 cheese slices. The number of grilled cheese sandwiches she makes is 30 / 3 = 10 grilled cheese sandwiches.. The answer is: 10.

Jill is painting her 20 toenails and fingernails. She paints 6 of her nails purple, 8 of them blue, and the rest striped. What is the difference in percentage points between the percentage of nails painted blue and the percentage painted striped? Give the rationale and then the answer.
Let's think step by step. First find the total number of striped nails: 20 nails - 6 nails - 8 nails = 6 nails. Then divide the number of blue nails by the number of total nails and multiply by 100% to express the answer as a percentage: 8 blue nails / 20 total nails * 100% = 40%. Then divide the number of striped nails by the number of total nails and multiply by 100% to express the answer as a percentage: 6 striped nails / 20 total nails * 100% = 30%. Then subtract the percentage of striped nails from the percentage of blue nails to find the difference: 40% - 30% = 10%.. The answer is: 10.

Ines had $20 in her purse. She bought 3 pounds of peaches, which are $2 per pound at the local farmers’ market. How much did she have left? Give the rationale and then the answer.

Let's think step by step. Ines bought 3 pounds of peaches for 3 peaches * $2 / peach = $6. Ines has $20 - $6 = $14 left.. The answer is: 14.