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Sedaia [141]
3 years ago
6

Samaia buys two water bottles and three bags of chips for $9.45. Abdullah goes to the same store and buys four water bottles, as

Samaia, and five bags of chips, same as ones Samaia bought, for $14.75. Which choice below accurately represents a system of equations, w for water bottles and c for chips, for this scenario? Each water bottle is same price and each bag of chips is same price. * A) 3w + 2c = 9.45 AND 5w + 4c = 14.75 B) 2w + 3c = 9.45 AND 4w + 5c = 14.75 3) 2w + 3c = 14.75 AND 4w + 5c = 9.45 D) 5c + 9w = $24.20
Mathematics
1 answer:
kow [346]3 years ago
3 0

Answer:

B) 2w + 3c = 9.45 AND 4w + 5c = 14.75

Step-by-step explanation:

Let us represent:

Number of water bottles = w

Number of bag of chips = c

Hence:

Samaia buys two water bottles and three bags of chips for $9.45.

2w + 3c = 9.45......Equation 1

Abdullah goes to the same store and buys four water bottles, as Samaia, and five bags of chips, same as ones Samaia bought, for $14.75.

4w + 5c = 14.75......Equation 2

Which choice below accurately represents a system of equations, w for water bottles and c for chips, for this scenario?

Option B) 2w + 3c = 9.45 AND 4w + 5c = 14.75 is the correct option.

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Hey there!

In order to answer this question, it's easiest to start with one of the money amounts and work your way to the other ones. Keep in mind that, no matter what, the amount of collective money won't exceed 1.50, meaning you can't have two 1 dollar bills, etc. When I wrote it out, I did it in this order:

1 = 1 dollar
0.5 = Half dollar
0.25 = Quarter

1 + 0.5 = 1.50
1 + 0.25 + 0.25 = 1.50
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0.5 + 0.5 + 0.25 + 0.25 = 1.50
0.5 + (0.25*4) = 1.50
0.25*6 = 1.50

Since no other combinations add up to 1.50, your answer is 6. 

Hope this helped you out! :-)
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