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# (Originais Teachy 2023) - Question Medium of Math

João was saving money to buy a gift for his mother. He started saving R\$ 5 per month and then increased the amount saved to R\$ 10 each subsequent month. Consider x as the number of months João saved R\$ 5 and y as the number of months he saved R\$ 10. If the total saved was R\$ 100, then follow the steps below to determine the values of x and y: a) Write the mathematical equation that represents the situation. b) Use the mathematical equality relationship and solve the equation to find the relationship between x and y. c) Find the possible values of x and y that solve the equation and meet the conditions of the problem.

Lorem ipsum dolor sit amet, consectetur adipiscing elit. Curabitur id consequat justo. Cras pellentesque urna ante, eget gravida quam pretium ut. Praesent aliquam nibh faucibus ligula placerat, eget pulvinar velit gravida. Nam sollicitudin pretium elit a feugiat. Vestibulum pharetra, sem quis tempor volutpat, magna diam tincidunt enim, in ullamcorper tellus nibh vitae turpis. In egestas convallis ultrices.

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