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rusak2 [61]
3 years ago
13

Three consecutive odd integers are such that the sum of the first and second is 31 less than 3 times the third. Find the integer

s (URGENT)
Mathematics
1 answer:
Otrada [13]3 years ago
3 0

1st:x

2nd x+2

3rd: x+4

(x)+(x+2) = 3(x+4)-31

distribute

2x+2 = 3x+12-31

2x+2 =3x-19

subtract 2x from each side

2 = x-19

add 19 to each side

21 =x

Answer: 21,23,25

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Step-by-step explanation:

Solve algebraically using a system of equations

Assign variables

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let "c" be the number of children    <-- We want to find this

a + c = 541             Equation for number of people

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<u>Rearrange the equation for people</u>. Isolate the variable you don't want to find.

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<u>Substitute</u> "541 - c", replacing "a", in the equation for money

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2.25(541 - c) + 1.75c = 1041.25               Distribute over brackets

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<u>Start isolating "c".</u> Move anything that's not "c" to the right side. Move numbers in reverse BEDMAS order. That means we will add/subtract before dividng/multiplying. When moving a number, do its reverse operation to the entire equation.

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-0.5c = -176               Do the reverse of multiplying by -0.5

-0.5c/-0.5 = -176/-0.5               Divide both sides by -0.5

c = 352                Number of children

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