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Mekhanik [1.2K]
1 year ago
8

3) There are 16 cups in a gallon. The equation c=16g gives the number of cups in terms of the number of gallons. Write another e

quation for this situation, giving the number of gallons in terms of the number of cups:
Mathematics
1 answer:
suter [353]1 year ago
3 0

We know the equation

c=16g

gives the number of cups if we know the numbe rog gallons.

If we want an equation that gives the number of gallons if we know the number of cups we just have to solve hte equation for g, that is:

g=\frac{c}{16}

Therefore, the equation we are looking for is:

g=\frac{c}{16}

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Novosadov [1.4K]
• So we know that.....

x represent bags of snack and y is bottles of water.


This equations shows the total amount and the cost of each water bottle and snack:

20.00 = 2.50x + 1.00y

Total: $20.00
Snack: $2.50
Water Bottle: $1.00


And this question shows the total items:

11 = x + y

Which there will be some snack + some water bottle = 11 items


—————————————————————

• Now I’m going to first solve for x, which is the amount of bags of snack.

I will use the equation, 11 = x + y.

(First, we’ll subtract y from both side, since we’re solving for x [UNDO])

11 = x + y
-y = - y
_______
11 - y = x —> so x is equal to 11 minus y.


—————————————————————

• Now we’re going to plug the 11 - y as x in the equation: 20.00 = 2.50x + 1.00y to solve for y.

20.00 = 2.50 (11 - y) + 1.00y

20.00 = 27.5 - 2.50y + 1.00y (Distributed)

20.00 = 27.5 - 1.50y (Combine like terms)

20.00 = 27.5 - 1.50y
-27.5 = -27.5 (Subtract -27.5 both side)
——————————
-7.5 = - 1.50y


-7.5 = -1.50y
—— ——— (Divide both side by -1.50)
- 1.50 = -1.50

5 = y

y is equals to 5, which means that there are 5 water bottles.


Now we know there are 11 items total and because there are 5 water bottles, there will be 6 bags of snacks. 11-5=6

—————————————————————

ANSWER:

They bought 6 bags of snacks! :)
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3 years ago
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