math problemon monday afternoon,the store sold 1/2                               of its supply of bottled...

math problem

on monday afternoon,the store sold 1/2                               of its supply of bottled water.on                                 tuesday,it sold 5 gallons of water. on                          wednesday,it sold 12 gallons.on                                  thursday,the store recieved a 15-                                   gallon shipment.the store then had 22 gallons in stock. how many gallons of water did the store have on monday morning?

solution!!! and answer!!! please

please tell me how to answer this.

Asked on by maganda12

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rsarvar1a's profile pic

rsarvar1a | Student, Grade 9 | (Level 1) Honors

Posted on

On Monday afternoon, the store sold 1/2 of its supply of bottled water. On Tuesday, it sold 5 gallons of water. On Wednesday, it sold 12 gallons. On Thursday, the store recieved a 15-gallon shipment. The store then had 22 gallons in stock. How many gallons of water did the store have on Monday morning?

To solve this one, we work backwards. If the store had 22 gallons of water after receiving a 15-gallon shipment on Thursday, then they must have had 7 gallons after Wednesday. 

Wednesday saw the sale of 12 gallons, and Tuesday had sales of 5 gallons. This means that after the sale of half the water on Monday, there was 24 gallons left. To find the original amount of water, we simply multiply the 24 gallons by 2 to get 48. 

48 - (48/2) - 5 - 12 + 15 = 22

Therefore, the store had 48 gallons of water on Monday morning.

atyourservice's profile pic

atyourservice | Student, Grade 11 | (Level 3) Valedictorian

Posted on

on monday afternoon,the store sold 1/2 of its supply of bottled water.on tuesday,it sold 5 gallons of water. on wednesday,it sold 12 gallons.on thursday, the store recieved a 15-gallon shipment.the store then had 22 gallons in stock. how many gallons of water did the store have on monday morning?Start by working it out backwards.

22 -15 (for the 15g added on thurs) = 7 + 12 (the 12g sold) = 19 + 5 (the 5 gallons sold) = 24 x 2 (opposite of 1/2  is 2/1 = 2) =48

48 grams

krishna-agrawala's profile pic

krishna-agrawala | College Teacher | (Level 3) Valedictorian

Posted on

The best way to answer a question like this is to first construct an equation representing the information given in the question. In this equation the value to be calculated, which in this question is original quantity of water, will be represented by a symbol, say "Q". This equation can then be solved for value of Q to give the answer.

With practice, one can construct the equation in just one step, but to make it easier to understand, I will do this separately for each transaction in the question.

Lea us say the quantity of water on Monday morning was Q.

On Monday afternoon half of this initial quantity was sold. This means Q/2 was sold. The balance quantity left after this is = Q - Q/2.

On Tuesday it sold 5 gallons. The balance quantity after this is = Q - Q/2 -5.

On Wednesday it sold 12 gallons. The balance quantity after this is = Q - Q/2 -5 -12.

On Thursday it received 15 gallons. The balance quantity after this is = Q - Q/2 - 5 -12 + 15.

This quantity after receiving replenishment is given as 22 gallons. Therefore:

Q - Q/2 - 5 -12 + 15 = 22

To solve this equation we will first multiply both sides of equation by 2. This gives us:

2Q - Q -10 - 24 + 30 = 44

Therefore 2Q - Q = 44 + 10 + 24 - 30

That is Q = 48

So the store had 48 gallons of water on Monday morning.

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neela | High School Teacher | (Level 3) Valedictorian

Posted on

On Thursday after recieving a shipment of 15 gallons, the stock =22gallons

So, before recieving 15 gallons it should be 22-15 =7 gallons

Wednesday and  tuesday consupmotion =12+5= 17.

Threfore the closing balance on Monday =7+17=24, and this 24 is half of the stock on Monday marning.

Therefore the stock on Monday morning=24*2=48 gallons.

 

rdaugherty's profile pic

rdaugherty | Elementary School Teacher | (Level 1) eNoter

Posted on

On Monday morning the store had 48 gallons of water on hand.  You can prove this is true with the following information.  If you subtract the amount of water the store recieved on Thursday from how much it had in total on Thursday you get 7 (22-15), so you know that on Wednesday evening, before the shipment, the store had 7 gallons of water.  If you work backwards and add in the 12 gallons sold on Wednesday, and the 5 gallons sold on Tuesday, you get 24.  You have to double the 24 to get the total on Monday morning (because they sold half of their stock on Monday).  You can check your answer by plugging in the 48 for Monday Morning.  48 (total) - 24 (half sold Monday) - 5 (sold Tuesday) - 12 (sold Wednesday) + 15 (recieved Thursday) = 22 (amound in stock after shipment).

maganda12's profile pic

maganda12 | (Level 2) Honors

Posted on

im yoona<the one who wrote the topic right up there>.

there was an error when i was typing so there is a lot of space there. please ignore the space and just continue reading.

please help me answer that question.

please tell me the solution and answer please.

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