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Dmitry_Shevchenko [17]
2 years ago
12

4. Sam's parents are teachers who commute 45 miles roundtrip to work 5 2 days a week. His parents spend $38 on gasoline each wee

k. Gasoline cost $2.48 per gallon. Which of the following statements is true for this problem ? Sam's parents spend $0.17 per mile on gasoline II. Sam's parents buy 15.32 gallons of gasoline per week. III. Sam's parents car gets 5.92 miles per gallon of gasoline

Mathematics
1 answer:
Marat540 [252]2 years ago
7 0
<h2>Answer:</h2><h2>The correct option is d. (i) and (ii)</h2>

Step-by-step explanation:

The total miles covered per day = 45

No of commuting days in a week = 5

Total miles in a week = 45 * 5 = 225

The total amount spent on gasoline = $ 38

Cost of gasoline per gallon = $ 2.48

The number of gallons consumed per week = \frac{38}{2.48} = 15.32 gallons of gasoline per week.

This confirms (ii) statement

The amount spend on gasoline per mile = \frac{38}{225} = $0.17

This confirms (i) statement

The number of miles per gallon of gasoline = \frac{225}{15.32} = 14.68 miles

The statement (iii) is false.

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Therefore,

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<em><u>Substitute eqn 1 and eqn 2 in eqn 3</u></em>

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<em><u>Substitute a = 16 in eqn 2</u></em>

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Divide the above ratio by 4 to reduce to lowest terms

g : c : a - 1 : 12 : 4

Thus ratio of George’s age to Carl’s age to Alex’s age is 1 : 12 : 4

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