Barry is getting an early start on this year's summer chores, he started painting his house already.
Barry started out with 110 ounces of blue paint, 120 ounces of red paint, 150 ounces of white paint.
Barry painted 4 EQUAL SIZED stripes on his wall: 1 blue stripe, 1 red stripe, 1 white stripe, 1 pink stripe. Pink is a mix of white & red (NOT in equal amounts!).
When Barry finished, he had the same amount of blue, red, and white paint. How many total ounces of paint does Barry have?
could be zero.
blue stripe: 110 oz
red stripe: 110 oz
white stripe: 110 oz
pink stripe: 20 oz red and 40 oz white
There are not enough constraints to find a unique solution.
To find the total number of ounces of paint that Barry has after finishing painting, we need to calculate the amount of paint used for each stripe and then determine the remaining amount of each color.
First, let's calculate the amount of paint used for each stripe. Since Barry painted 4 equal-sized stripes and one of them is a mix of white and red, we can assume that each of the first three stripes used an equal amount of paint.
Therefore, each of the blue, red, and white stripes used 1/3 of their initial quantity.
Blue stripe: 110 ounces x 1/3 = 36.67 ounces
Red stripe: 120 ounces x 1/3 = 40 ounces
White stripe: 150 ounces x 1/3 = 50 ounces
Next, let's calculate the remaining amount of paint for each color.
For the blue and red paint, since Barry used the same amount of each color in the stripes, the remaining amount of these two colors will be the same. Let's represent the remaining amount of blue and red paint as "x."
Remaining blue paint: x ounces
Remaining red paint: x ounces
Since the final amounts of the blue, red, and white paint are the same, we can create an equation by multiplying the remaining amounts by 4 (considering all 4 stripes) and adding the amount of paint used for each stripe:
4x + 36.67 ounces (blue stripe) + 40 ounces (red stripe) + 50 ounces (white stripe) = x + x + 50 ounces
Simplifying the equation:
4x + 36.67 + 40 + 50 = 2x + 50
Combining like terms:
4x + 126.67 = 2x + 50
Subtracting 2x from both sides:
4x - 2x + 126.67 = 2x - 2x + 50
2x + 126.67 = 50
Subtracting 126.67 from both sides:
2x + 126.67 - 126.67 = 50 - 126.67
2x = -76.67
Finally, dividing by 2:
2x/2 = -76.67/2
x = -38.335
Since we cannot have a negative amount of paint, we can conclude that there was an error in the calculation or information provided. Please double-check the given data or calculations to resolve the discrepancy.