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SVEN [57.7K]
4 years ago
7

The Polleys want to put in a swimming pool next summer. They need to save $6,000 over 12 months in order to achieve this goal. T

hey set aside the same amount each month and after 7 months discovered they have saved $3,100. The Polleys know that they must adjust their plan in order to meet their goal, so they come up with the following options: Option A: Save the original amount each month but put the pool in one month later than originally planned. Option B: Increase savings each month by $100 from their original plan. Which of the following statements is true?
Mathematics
2 answers:
Crank4 years ago
7 0

Answer:

d.Neither option A nor option B will allow them to meet their goal.

Step-by-step explanation:

I got it right on edge

Sauron [17]4 years ago
6 0

Answer:

Therefore Neither option A nor option B will allow them to meet their goal....

Step-by-step explanation:

The Polleys need to save $6,000 over 12 months.

After 7 months they discovered that they have saved $ 3,100 but in actual they have to save $3,500. It means $400 are short. Therefore for the remaining months they must save $6000-$3100 = $2900. They have to save 2900/5 = $580 each month.

According to the Option A The original amount was $500, in 5 months they will save 500*5 =$2500. They need total of $2900, which means $400 are short.

According to the Option B  Increase savings each month by $100 from their original plan makes a total amount of $3000. This amount exceeds their goal.

Therefore Neither option A nor option B will allow them to meet their goal....

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3 years ago
A bottle weighs 1.2 kg when it is 1/4 full of water. It weighs 2.4 kg when it is full. What is the weight of the empty bottle?
sweet [91]

Answer:

Weight of empty bottle = 0.8 kg

Weight of water = 1.6 kg

Step-by-step explanation:

As given , A bottle weighs 1.2 kg when it is 1/4 full of water. It weighs 2.4 kg when it is full.

Let us assume

Weight of empty bottle = x

Weight of water = y

Now,

when the bottle is 1/4 full of water

then,

weight of water = \frac{1}{4}×y

As given , Bottle weight = 1.2 , when it is 1/4 full of water

⇒ Weight of water + weight of bottle = 1.2

⇒ \frac{1}{4}×y + x = 1.2

⇒ y + 4x = 4.8      .......(1)

Also given, A bottle weight = 2.4 , when it is full of water

⇒ Weight of water + weight of bottle = 2.4

⇒ y + x = 2.4        ......(2)

Subtract equation (2) from equation (1) , we get

y + 4x - ( y+ x) = 4.8 - 2.4

⇒ y + 4x - y - x = 2.4

⇒3x = 2.4

⇒x = \frac{2.4}{3} = 0.8 kg

and y = 2.4 - x = 2.4 - 0.8 = 1.6 kg

∴ we get

Weight of empty bottle = x = 0.8 kg

Weight of water = y = 1.6 kg

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3 years ago
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ki77a [65]
I will give you my solution down here
3x-x=2+4
2x=6
x=3

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3 years ago
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