It takes Akira 10 minutes to make a black and white drawing and 25 minutes to make a color drawing. On Saturday, he made a total of 9 drawings in 2 hours.
Write and solve a system of equations to determine how many drawings of each type Akira made.
Answer (2)
To determine the number of black and white and color drawings, set up a system of equations based on the given information. Solve the system of equations by adding them together. The solution is 3 black and white drawings and 6 color drawings.
To solve this problem , we can set up a system of equations. Let the number of black and white drawings be represented by x and the number of color drawings be represented by y .
The first equation is based on the fact that it takes Akira 10 minutes to make a black and white drawing and 25 minutes for a color drawing. So, the total time spent on black and white drawings is 10x minutes and the total time spent on color drawings is 25y** minutes**.
The second equation states that on Saturday Akira made a total of 9 drawings in 2 hours, which is equivalent to 120 minutes. So, we have x + y = 9.
Adding the equations 10x + 25y = 120 and x + y = 9, we can solve for x and y . Solving this system of equations gives us x = 3 and y = 6.
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Akira made 7 black and white drawings and 2 color drawings. This was determined by setting up a system of equations based on the time taken to create each type and the total number of drawings made. The equations were solved to find the values of x and y, representing the different types of drawings.
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