Samuel and his mother went to the market to buy some fruits. An apple costs 30 cents per piece while a watermelon costs 3 times the price of an apple. The number of apples they bought is twice the number of watermelons. Samuel and his mother paid $9 for all the fruits they bought. How many pieces of apples and watermelons did they buy?
First, identify what we are looking for in the problem. We need to identify the number of pieces of apples and watermelons bought by Samuel and his mother. Next, identify the given items in the problem: Price of an apple = 30 cents Price of a watermelon = 90 cents (3 times the price of an apple) Total amount paid = $9 Total number of apples bought = twice the number of watermelons Assign variables to the given items: PA = 0.30 PW = 0.90 Total Amount = 9 W = number of watermelons bought 2W = number of apples bought Create a formula: Total Amount = (PA * 2W) + (PW * W) Substitute the given in the formula: 9 = (0.30 * 2W) + (0.90 * W) Compute for W using the formula. Start with multiplying the factors: 9 = 0.60W + 0.90W Add the like terms: 9 = 1.50W Divide both sides by 1.50 to obtain the value of W: 9 / 1.50 = 1.50W / 1.50 6 = W From the solution above, we obtained that the value of W is 6. This means that the number of watermelons bought is 6. Next is we need to identify the number of apples bought. It is given in the problem that the number of apples is twice the number of watermelons. Therefore, the number of apples bought is 12. Watermelon = 6 pieces Apple = 12 pieces Conclusion of the problem: How many pieces of apples and watermelons did they buy? Samuel and his mother bought 12 pieces of apple and 6 pieces of watermelon.
What is a Computer Network?
A computer network is consist of interconnected computers or end devices using an intermediary device, such as a switch or a hub, that communicates with one another. Each computer in a network can be the source or the destination of message. The identity of each computer in a network is established using unique IP Address and MAC Address. When multiple computer networks are interconnected, the internet is formed.
Find x. 3 (5x + 8) = -2 (-3x - 2) + 5x
To compute for x, follow the following steps: a. Multiply factors 15x + 24 = 6x + 4 + 5x b. Group like terms 15x + 24 = 11x + 4 c. Transpose. Place all elements with x on one side. 15x - 11x = 4 - 24 4x = -20 d. Divide both sides by 4 to obtain the value of x. 4x / 4 = -20 / 4 x = -5 e. The answer is x = -5.