jane is buying squid balls and noodles for her friends.each cup of noodles cost php 15 while each stick of squid balls cost php 10.00.she only has php 70 but needs to buy at least stick of squid balls. find the least 3 possible number of sticks of squid balls and cup of noodles that jane can buy .justify your answer,and show the following solution

Answer:1. Setting up the Constraints: Budget: Jane has PHP 70.Squid Balls: She needs to buy at least one stick of squid balls.Cost: Noodles cost PHP 15 per cup, and squid balls cost PHP 10 per stick. 2. Finding Possible Combinations: We can start by assuming Jane buys the minimum number of squid balls (1 stick) and then see how many cups of noodles she can buy with the remaining money. Squid Balls: 1 stick * PHP 10/stick = PHP 10Remaining Budget: PHP 70 - PHP 10 = PHP 60Max Noodles: PHP 60 / PHP 15/cup = 4 cups Therefore, one possible combination is 1 stick of squid balls and 4 cups of noodles. Now, let's try increasing the number of squid balls and see if we can find other combinations: Squid Balls: 2 sticks * PHP 10/stick = PHP 20Remaining Budget: PHP 70 - PHP 20 = PHP 50Max Noodles: PHP 50 / PHP 15/cup = 3.33 cups (Since we can't buy a fraction of a cup, we round down to 3 cups) Another possible combination is 2 sticks of squid balls and 3 cups of noodles. Finally, let's try one more increase in the number of squid balls: Squid Balls: 3 sticks * PHP 10/stick = PHP 30Remaining Budget: PHP 70 - PHP 30 = PHP 40Max Noodles: PHP 40 / PHP 15/cup = 2.67 cups (Round down to 2 cups) The third possible combination is 3 sticks of squid balls and 2 cups of noodles. 3. Justification: These three combinations (1 stick & 4 cups, 2 sticks & 3 cups, 3 sticks & 2 cups) satisfy all the given conditions: Budget: The total cost of each combination is less than or equal to PHP 70.Squid Balls: Each combination includes at least one stick of squid balls.Whole Numbers: The number of sticks of squid balls and cups of noodles are whole numbers. Therefore, the least 3 possible number of sticks of squid balls and cups of noodles that Jane can buy are: 1 stick of squid balls and 4 cups of noodles2 sticks of squid balls and 3 cups of noodles3 sticks of squid balls and 2 cups of noodles

Answered by illeah | 2024-10-18