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10 Sep 2017, 05:49
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In a certain box of of widgets there are only brass widgets and iron widgets. If 42 of the widgets are brass and 14 are iron, what is the total weight, in kilograms of the box?
(1) The weight of seven brass widgets is three times the weight of an iron widget.
(2) The total weight of a brass widget and five iron widgets is 38 kilograms.
(1) The weight of seven brass widgets is three times the weight of an iron widget.
(2) The total weight of a brass widget and five iron widgets is 38 kilograms.
10 Sep 2017, 07:14
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Lets say that
b - weight of the brass widget
i - weight of iron widget
The question is 42 * b + 14 * i = ?
Let's express given statements with formulas:
1) 7 * b = 3 * i
2) b + 5 *i = 38
In both we can express one variable through another and substitute in the equation, but as the remaining variable is unknown we can't calculate the total weight.
Both are NS
Taking statements together, we can solve.
Multiply second statement by 7
7 * b + 35 * i = 7 * 38
Substitute by the expression from the first statement (7 * b = 3 * i)
3 * i + 35 * i = 7 * 38
38 * i = 7 * 38 => i = 7
b = 3 * i / 7 = > b = 3
Total weight will be 42 * 3 + 14 * 7 = 224
Answer C
b - weight of the brass widget
i - weight of iron widget
The question is 42 * b + 14 * i = ?
Let's express given statements with formulas:
1) 7 * b = 3 * i
2) b + 5 *i = 38
In both we can express one variable through another and substitute in the equation, but as the remaining variable is unknown we can't calculate the total weight.
Both are NS
Taking statements together, we can solve.
Multiply second statement by 7
7 * b + 35 * i = 7 * 38
Substitute by the expression from the first statement (7 * b = 3 * i)
3 * i + 35 * i = 7 * 38
38 * i = 7 * 38 => i = 7
b = 3 * i / 7 = > b = 3
Total weight will be 42 * 3 + 14 * 7 = 224
Answer C
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10 Sep 2017, 11:07
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Zarevl
Lets say that
b - weight of the brass widget
i - weight of iron widget
The question is 42 * b + 14 * i = ?
Let's express given statements with formulas:
1) 7 * b = 3 * i
2) b + 5 *i = 38
In both we can express one variable through another and substitute in the equation, but as the remaining variable is unknown we can't calculate the total weight.
Both are NS
Taking statements together, we can solve.
Multiply second statement by 7
7 * b + 35 * i = 7 * 38
Substitute by the expression from the first statement (7 * b = 3 * i)
3 * i + 35 * i = 7 * 38
38 * i = 7 * 38 => i = 7
b = 3 * i / 7 = > b = 3
Total weight will be 42 * 3 + 14 * 7 = 224
Answer C
b - weight of the brass widget
i - weight of iron widget
The question is 42 * b + 14 * i = ?
Let's express given statements with formulas:
1) 7 * b = 3 * i
2) b + 5 *i = 38
In both we can express one variable through another and substitute in the equation, but as the remaining variable is unknown we can't calculate the total weight.
Both are NS
Taking statements together, we can solve.
Multiply second statement by 7
7 * b + 35 * i = 7 * 38
Substitute by the expression from the first statement (7 * b = 3 * i)
3 * i + 35 * i = 7 * 38
38 * i = 7 * 38 => i = 7
b = 3 * i / 7 = > b = 3
Total weight will be 42 * 3 + 14 * 7 = 224
Answer C
Buddy, in statement 2, we indeed have enough information to get the value of iron and brass widget..
\(B+5I=38\) --> \(B=38-5I\), we can substitute in \(42B+14I\) equation.
Am I correct?
