At a bargain store, Spongebob bought 3 items that each cost the same amount. Patrick bought 5 items that each cost the same amount. Patrick bought 5 items that each cost the same amount, but each was $1.50 less than the items that Spongebob bought. Both Spongebob and Patrick paid the same amount of money. What was the individual cost of each person’s items ? (a) Write an equation. Let x represent the cost of one of Spongebob’s items.

(b) Solve the equation. Show your work.

(c) Check your solution. Show your work.

(d) State the solution in complete sentences.

hurry !!

(a) The equation is 3 × x = 5 × (x - 1.5)

(b) The price of each item Spongebob bought is $3.75

The price of each item Patrick bought is $2.25

(c) The total cost of the items bought by Spongebob = $11.25 = The total cost of the items of items bought by Patrick bought

(d) The prices of the 3 items that Spongebob bought are $3.75 each. The prices of the 5 items that Patrick bought are $2.25 each  

Step-by-step explanation:

The given parameters are;

The number of items Spongebob bought = 3 items

The price of each item Spongebob bought = The same = x

The number of items Patrick bought = 5 items

The price of each item Patrick bought = Equal price = x - 1.5

The amount of money Spongebob paid = The amount of money Patrick paid

(a) Therefore, the equation with representing the expressions are;

The total price Spongebob paid = (The number of items Spongebob bought) × (The price of each item Spongebob bought)

The total price Spongebob paid = 3 × x

The total price Patrick paid = (The number of items Patrick bought) × (The price of each item Patrick bought)

The total price Patrick paid = 5 × (x - 1.5)

The equation is 3 × x = 5 × (x - 1.5)

(b) From the following equation;

The amount of money Spongebob paid = The amount of money Patrick paid

We have;

3 × x = 5 × (x - 1.5)

3 × x = 5 × x - 7.5

7.5 =  5 × x - 3 × x = 2 × x

x = 7.5/2 = 3.75

x = $3.75

Therefore;

The price of each item Spongebob bought = x = $3.75

The price of each item Spongebob bought = $3.75

The price of each item Patrick bought = x - 1.5 = $3.75 - $1.5 = $2.25

The price of each item Patrick bought = $2.25

(c) We check the total cost of the items of items bought by Spongebob as follows;

The total amount of cost of the items bought by Spongebob = 3 × $3.75 = $11.25

The total cost of the items of items bought by Spongebob = $11.25

The total cost of the items of items bought by Patrick bought = 5 × $2.25 = $11.25

The total cost of the items of items bought by Patrick bought = 5 × $2.25 = $11.25

The total cost of the items of items bought by Patrick bought = $11.25

From which we have;

The total cost of the items bought by Spongebob = $11.25 = The total cost of the items of items bought by Patrick bought

(d) The prices of the 3 items that Spongebob bought are $3.75 each. The prices of the 5 items that Patrick bought are $2.25 each.

2 & 7

step-by-step explanation:

he climbs 300 ft/hr at a constant rate. the peak is at 1,500 ft.

when going up, he reaches 600 ft in 2 hours. remember, that he is going in a constant rate. divide 600 with 300:

600/300 = 2

assuming that he takes the same route back (meaning that it's a 1500 ft route back, you can solve.

note also that you are solving when he gets back to 600 ft after he reaches the peak.

first, find the amount of hours it takes to get up the peak. divide the total amount (1500), with the ft/her (300) to get the amount of hours (x):

1500/300 = x

x = 5

it takes jamie 5 hours to get up. now, he is returning down, and reaches 600 (his current destination). remember that he climbs at a constant 300 ft/hr. divide 600 with 300:

600/300 = x

x = 2

now add the two numbers together.

x = 5 + 2 = 7

jamie takes 7 hours to go up the mountain and reach his current position when descending.

(total amount/constant rate) = (time).

remember that it is a constant rate, so in total, when he gets back down the mountain, it will take the same amount of time as when he goes up. the total amount for the round trip is: 5 + 5 = 10.

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dalila is incorrect. the whisker on the left is very long, going all the way out to 5. the whisker goes from 5 to 30, so it has a spread of 25. the rest of the box plot values are closer together, so 5 is an outlier