Mathematics, 05.05.2020 11:04 minideeri

A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 8 large boxes and 3 small boxes has a total weight of 187 kilograms. A delivery of 2 large boxes and 5 small boxes has a total weight of 102 kilograms. How much does each type of box weigh?

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Answer from: 22lzawis

Weight of large box = 18.5 Kg

Weight of small box = 13 Kg

Step-by-step explanation:

Let the weight of large box be X kg

Let the weight of small box be Y kg

So weight of 8 large boxes = 8X

weight of 3 small box be = 3Y

According to question

8 large boxes and 3 small boxes has a total weight of 187

mathematically it can be represented as

8X + 3 Y = 187

Second condition

weight of 2 large boxes = 2X

weight of 5 small box be = 5Y

According to question

2 large boxes and 5 small boxes has a total weight of 102 kilograms

mathematically it can be represented as

2X + 5Y = 102

we have two equation

8X + 3 Y = 187 A

2X + 5Y = 102 B

multiplying equation B with 4 on both side of equation we have

4*(2X + 5Y) = 4*102

=> 8X + 20Y = 408 C

Now subtracting equation A and C on both sides we have

8X + 3 Y - (8X + 20Y ) = 187 -408

8X - 8X + 3 Y - 20Y = -221

-17Y = -221

=> Y = -221/-17 = 13

Now substituting value of Y in equation B we have

2X + 5*13 = 102

=> 2X + 65 = 102

=> X = (102-65)/2 = 18.5

Weight of large box = 18.5 Kg

Weight of small box = 13 Kg

Answer from: Quest

im here

step-by-step explanation:

Answer from: Quest

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!

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