Question

Need help ASAP please help me

Answer 1

Answer:

Part 1) $x+2.25=6.50$

Part 2)  $s+2.25=6.50$

Part 3) $25w=600$

Part 4) $\frac{1}{4}d=1.5$

Part 5) $7.25h=87$

Part 6) $\frac{1}{2}x=63.75$

Part 7) see the explanation

Part 8) see the explanation

Step-by-step explanation:

Part 1)

Let

x ----> the amount that Jackson spent on his lunch

we know that

The amount that Jackson spent on his lunch plus $2.25 is equal to the amount that Matt spent on his lunch

so

The linear equation that represent this situation is

$x+2.25=6.50$

$x=\ 4.25$

Part 2)

Let

s ----> the number of seats in gymnasium

we know that

The number of seats in gymnasium minus 112 is equal to the number of seats in auditorium

so

The linear equation that represent this situation is

$s-112=600$

$s=712\ seats$

Part 3)

Let

w ----> the number of weeks

we know that

The number of weeks multiplied by $25 per week must be equal to $600

so

The linear equation that represent this situation is

$25w=600$

$w=24\ weeks$

Part 4)

Let

d -----> distance that Carolyn ran

we know that

One fourth the distance that Carolyn ran is equal to the distance that Erin ran

so

The linear equation that represent this situation is

$\frac{1}{4}d=1.5$

$d=6\ miles$

Part 5)

Let

h ----> the number of hours worked at the grocery store

we know that

The number of hours worked multiplied by $7.25 per hour must be equal to $87

so

The linear equation that represent this situation is

$7.25h=87$

$h=12\ hours$

Part 6)

Let

x -----> Emilio's savings

we know that

One half of Emilio's savings is equal to $63.75

so

The linear equation that represent this situation is

$\frac{1}{2}x=63.75$

$x=\ 127.50$

Part 7) we have

$14x=21$

Let

x ----> the number of hours

Real world problem

Ben earns $14 per hour in the forex market. In how many hours he will have earned $21?

Part 8) we have

$y+20=85$

Let

y---->  the amount that Carlos spent on his dinner

Real world problem

Mark spent $85 on his dinner. This is $20 more than his friend Carlos spent on his dinner. How much did Carlos spent on his dinner?