This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Here are the solutions for the problems: a) There are ten children at my party. Two cakes are shared equally between ten children. What part of a cake will each child get? Step 1: Identify the total number of cakes and children. Total cakes = 2 Total children = 10 Step 2: Divide the total cakes by the total children to find the part of a cake each child gets. Part of cake per child = 2 cakes10 children = (2)/(10) Step 3: Simplify the fraction. (2)/(10) = (1)/(5) Each child will get (1)/(5) of a cake. (1)/(5) of a cake b) At the party they also have 20 cup cakes on two plates. If the cup cakes are shared equally between the 10 children, how many cup cakes will each child get? What fraction of each plate will each learner get? Step 1: Calculate the number of cupcakes each child gets. Total cupcakes = 20 Total children = 10 Cupcakes per child = 20 cupcakes10 children = 2 cupcakes Step 2: Calculate the number of cupcakes on each plate. Number of plates = 2 Cupcakes per plate = 20 cupcakes2 plates = 10 cupcakes/plate Step 3: Determine the fraction of each plate each child gets. Fraction of each plate per child = Cupcakes per childCupcakes per plate = (2)/(10) Step 4: Simplify the fraction. (2)/(10) = (1)/(5) Each child will get 2 cupcakes and (1)/(5) of each plate. 2 cupcakes, (1)/(5) of each plate c) If you want to give each child one seventh of a cake: • How many children can you invite to your party if you have 4 cakes? Step 1: Determine the fraction of cake each child receives. Each child gets (1)/(7) of a cake Step 2: Calculate the total number of children that can be invited with 4 cakes. Number of children = Total cakes ÷ Fraction per child Number of children = 4 ÷ (1)/(7) = 4 × 7 = 28 children 28 children • One whole cake and one seventh of a cake are not eaten. How many children did not eat cake? Step 1: Calculate the total amount of cake not eaten. Cake not eaten = 1 whole cake + (1)/(7) of a cake = (7)/(7) + (1)/(7) = (8)/(7) of a cake Step 2: Determine how many children this amount of cake represents. Children who did not eat = Cake not eaten ÷ Fraction per child Children who did not eat = (8)/(7) ÷ (1)/(7) = 8 children 8 children • If 35 children arrived at your party, how many more cakes do you need? Step 1: Calculate the total cakes needed for 35 children. Cakes needed = 35 children × (1)/(7) cake/child = (35)/(7) = 5 cakes Step 2: Assuming you initially had 4 cakes (from the first part of 'c'), calculate how many more cakes are needed. More cakes needed = Total cakes needed - Cakes available More cakes needed = 5 cakes - 4 cakes = 1 cake 1 cake That's 2 down. 3 left today — send the next one.