If 2 tacos and 3 drinks cost $14, and 3 tacos and 2 drinks cost $16, how much does a taco cost?
2 answers:
A tacos would cost $2.67.
- Let the cost of tacos be T.
- Let the cost of drinks be D.
Translating the word problem into an algebraic equation, we have;
......equation 1
......equation 2
To find how much a tacos cost, we would solve the above system of equations by using the substitution method.
From eqn 1, we would make D the subject of formula;
.....equation 3
Substituting eqn 3 into eqn 2, we have;
Lowest common multiple (LCM) = 3
Cross-multiplying, we have;
T = $2.67
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<h2>Answer:</h2>
The first consecutive odd number is: 9
and the second consecutive odd number is: 11
<h2>Step-by-step explanation:</h2>Let the two consecutive odd numbers be: a and a+2
( Since, we know that the difference between two consecutive odd or two consecutive even numbers is always 2 )
Now, it is given that:
Three times the first is 5 more than twice the second.
i.e.
Hence, we get:
The first consecutive odd number is: 9
and the second consecutive odd number is: 9+2=11