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sergeinik [125]
3 years ago
9

Miko’s restaurant bill was $16. She used the expression 1.18(16) to find the total cost including an 18% tip.

Mathematics
2 answers:
dexar [7]3 years ago
7 0

we have that

the expression to find the total cost is equal to

1.18(16)

we know that

1.18=(1+0.18)

substitute in the expression above

1.18(16)=(1+0.18)16

Applying property distributive

(1+0.18)16=(1)*16+(0.18)*16=16+0.18*(16)

therefore

<u>the answer is the option</u>

16+0.18(16)

Lena [83]3 years ago
3 0

The answer is (1+0.18)16.

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Solve algebraically using a system of equations

Assign variables

let "a" be the number of adults

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

a = 541 - c

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

2.25a + 1.75c = 1041.25              

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

1217.25 - 2.25c + 1.75c = 1041.25               Collect like terms

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1217.25 - 0.5c = 1041.25      Do the reverse of positive 1217.25

1217.25 - 1217.25 - 0.5c = 1041.25 - 1217.25    Subtract 1217.25 on both sides  

-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

Therefore, there were 352 children in the pool.

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