A bakery sells cakes and cookies. If the total number of items is 150 and the nu
Practice Questions
Q1
A bakery sells cakes and cookies. If the total number of items is 150 and the number of cakes is twice the number of cookies, how many cakes are there?
100
50
75
25
Questions & Step-by-Step Solutions
A bakery sells cakes and cookies. If the total number of items is 150 and the number of cakes is twice the number of cookies, how many cakes are there?
Step 1: Let the number of cookies be represented by the variable x.
Step 2: Since the number of cakes is twice the number of cookies, we can represent the number of cakes as 2x.
Step 3: The total number of items (cakes and cookies) is given as 150. We can write the equation: x (cookies) + 2x (cakes) = 150.
Step 4: Combine the terms in the equation: x + 2x = 3x. So, we have 3x = 150.
Step 5: To find the value of x, divide both sides of the equation by 3: x = 150 / 3.
Step 6: Calculate the value: x = 50. This means there are 50 cookies.
Step 7: Now, to find the number of cakes, use the equation for cakes: cakes = 2x = 2 * 50.
Step 8: Calculate the number of cakes: cakes = 100.
Algebraic Equations – The question tests the ability to set up and solve a simple algebraic equation based on a word problem.
Word Problem Interpretation – The question assesses the skill of translating a real-world scenario into a mathematical model.
