Marcus wants to buy a new pair of shoes. He decided to pay not more than $130 for them. He found a pair for $120, on which he got a discount of 30%. How much money will he manage to save by buying these shoes and not spending the assumed maximum amount? Give the rationale and then the answer.
Let's think step by step. The discount on the shoes Marcus found is 120 * 30 / 100 = $36. That means he only had to pay 120 - 36 = $84. So Marcus was able to save 130 - 84 = $46.. The answer is: 46.

Martin is organizing a party, and he invited many of his colleagues. He invited 5 people from his hometown and twice as many people from his school. Martin invited also as many people from his sports club as the sum of people invited from his hometown and his school. The remaining invitations represent 20% of the total previously mentioned. How many people can potentially come to the party Martin is organizing? Give the rationale and then the answer.
Let's think step by step. Martin invited 5 * 2 = 10 people from his school. People from the sports club got 5 + 10 = 15 invitations. So in total from the sports club, hometown and school, Martin invited 5 + 10 + 15 = 30 people. All other invitations are 20% of the previous total, which means 20 / 100 * 30 = 6. That means Martin invited to his party 30 + 6 = 36 people.. The answer is: 36.

Steve is holding nickels and dimes in his hand. He has 4 more dimes than nickels. He has a total of 70 cents in his hand. How many nickels is he holding? Give the rationale and then the answer.

Show your work and conclude with the exact phrasing "Therefore, the final answer is [answer]." where [answer] is just the final number or expression that solves the problem.
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Let's think step by step. Let x be the number of nickels he is holding. His nickels are worth 5 * x = 5x cents. He has x + 4 dimes. The dimes are worth 10 * (x + 4). The total worth of the nickels and dimes is 5x + 10 * (x + 4) = 70. 5x + 10x + 40 = 70. 15x = 30. x = 2, Steve has 2 nickels in his hand.. The answer is: 2.