Mathematics, 29.06.2019 17:00 kookycookiefanx

Chapman’s brickyard sells bricks and blocks. a brick costs $0.38 and a block costs $1.56. the brickyard filled a $24.80 order, which contained 28 items a. write a system of equations that can be used to find the number of bricks and blocks in the order. b. how many blocks were in the order?

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Answer from: trinitymarielouis

a) $\left \{ {{0.38x+1.56y=24.80} \atop {x+y=28}} \right.$

b) 12 blocks and 16 bricks.

Step-by-step explanation:

Let x represent the number of bricks and y represent the number of blocks. Each brick costs $0.38; this gives us the expression 0.38x. Each block costs $1.56; this gives us the expression 1.56y. Together they totaled $24.80; this gives us the equation

0.38x + 1.56y = 24.80

We also know that the number of bricks, x, added to the number of blocks, y, totaled 28; this gives us

x + y = 28

To solve this, we will use substitution. First we will isolate x in the second equation by subtracting y from each side:

x + y = 28

x + y - y = 28 - y

x = 28 - y

Now we substitute this in place of x in the first equation:

0.38(28 - y) + 1.56y = 24.80

Using the distributive property, we have

0.38(28) - 0.38(y) + 1.56y = 24.80

10.64 - 0.38y + 1.56y = 24.80

Combining like terms gives us

10.64 + 1.18y = 24.80

Subtract 10.64 from each side:

10.64 + 1.18y - 10.64 = 24.80 - 10.64

1.18y = 14.16

Divide both sides by 1.18:

1.18y/1.18 = 14.16/1.18

y = 12

There were 12 blocks sold.

Substituting this into the second equation gives us

x + 12 = 28

Subtract 12 from each side:

x + 12 - 12 = 28 - 12

x = 16

There were 16 bricks sold.

Answer from: Quest

the system of inequalities is

$y> (1/3)x$

$y\leq-x+4$

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

$m=y/x=1/3$

the equation of the dashed line is

$y=(1/3)x$

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

$y> (1/3)x$

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

$m=(4-0)/(0-4)=-1$

the equation of the solid line is

$y=-x+4$

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

$y\leq-x+4$

step 3

the system of inequalities is

$y> (1/3)x$

$y\leq-x+4$

Answer from: Quest

20 percentage, you can also do it on a calculator.

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Chapman’s brickyard sells bricks and blocks. a brick costs $0.38 and a block costs $1.56. the bricky...

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