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GREYUIT [131]
3 years ago
11

James has a total of 66 dollars in his piggy bank. He only has one dollar bills and two dollar bills in his piggy bank. If there

are a total of 49 bills in James's piggy bank, how many one dollar bills does he have?
Mathematics
1 answer:
gavmur [86]3 years ago
5 0

Answer:

32 one-dollar bills.

Step-by-step explanation:

Let <em>x </em>represent one-dollar bills and <em>y </em>represent two-dollar bills.

He has a total of 49 bills. Therefore:

x+y=49

The total amount of money James has is 66. <em>x</em> is worth one dollar, while <em>y</em> is worth two dollars. Therefore:

1x+2y=66\\x+2y=66

We have a system of equations. Solve by substitution:

x+2y=66\\x+y=49\\x=49-y\\(49-y)+2y=66\\y=17\\x=49-17=32

Therefore, James has 32 one-dollar bills and 17 two-dollar bills.

Checking:

32(1)+17(2)\stackrel{?}{=}66\\32(1)+17(2)\stackrel{\checkmark}{=}66\\\\32+17\stackrel{?}{=}49\\49\stackrel{\checkmark}{=}49

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Answer:

The smaller number is 4

Step-by-step explanation:

Larger number = x

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Write 2 equations

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Substitute x in the first equation to the second equation

2(y + 6) = 5y

Multiply 2(y + 6)

2y + 12 = 5y

Subtract 2y from both sides of the equation

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Divide both sides of the equation by 3

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x = y + 6 = 4 + 6 = 10

The smaller number is 4

Hope this helps :)

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2 years ago
What fraction of 9 is 3​
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You have inherited land that was purchased for $25,000 in 1970. The value of the land has appreciated by
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Answer:

Future value of land = 25,000[1.04]³⁰

Future value of land = $81,084 (Approx.)

Step-by-step explanation:

Given:

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Computation:

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