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Sedaia [141]
3 years ago
7

Each marble bag sold by Rachel's Marble Company contains 3 purple marbles for every 2 green marbles. If a bag has 21 purple marb

les, how many green marbles does it contain?
Mathematics
1 answer:
kozerog [31]3 years ago
6 0
The ratio is 3:2, purple :green
The bag has 21 purple so to get from 3 to 21 it is multiplied by 7; so we must also multiply the 2 by 7 to keep the ratio balanced.
21:14
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Two numbers total 42 and have a difference of 8 find the two numbers
FinnZ [79.3K]
X+y = 42
x-y = 8
x = 8+y

Substitute it in 1st equation,
8+y+y=42
2y = 34
y = 17

Substitute it in 1st eq.,
x = 42-17 = 25

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Hope this helps!

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Step-by-step explanation:

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Four times a number added to 3 times a larger number is 31. Seven subtracted from the larger number is equal to twice the smalle
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Let the smaller number be x.
Let the bigger number be y.

\begin{cases} &4x + 3y = 31 \tex{ ----- (1) } \\ &y- 7 = 2x \tex{ ----- (2) } \end{cases}

Rearrange equation (2):
\begin{cases} &4x + 3y = 31 \tex{ ----- (1) } \\ &y = 2x + 7 \tex{ ----- (2) } \end{cases}



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Sub x = 1 into (2):

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y = 2(1) + 7
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Answer: The two numbers are 1 and 9.

5 0
3 years ago
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Doss [256]

Answer:

Step-by-step explanation:

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6 0
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it is the opposite of what it really was

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