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During a 60-minute period, a traffic engineer counted 54 trucks and cars that crossed a bridge. The ratio of trucks to cars that travel across the bridge is usually 2:7. The equation LaTeX: \frac{2}{7}=\frac{t}{54-t}2 7 = t 54 − t can be used to predict the number of trucks, t, the engineer should have counted. How many trucks should the engineer have counted?

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abidemiokin

Answer:

Step-by-step explanation:

Given the expression for the equation representing the prediction of number of trucks as;

2/7 = t/54-t where t is the number of trucks

To get the number of trucks t, we will have to evaluate the expression and solve for t as shown;

Given 2/7 = t/54-t

Cross multiply

2(54-t) = 7t

Open the parenthesis

2(54)-2t = 7t

108-2t = 7t

7t+2t = 108

9t = 108

Divide both sides by 9

9t/9 = 108/9

t = 21

Hence the engineers should have counted 21trucks

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