How much will you pay for 5 pounds of shrimp if the cost is 2 pounds for $10.99?
2 answers:
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Cross-multiply so that 8(3x + 1) = 14(2x)
Distribute the 8 and 14 into the parentheses:
24x + 8 = 28x
Subtract 24x from both sides:
8 = 4x
Divide both sides by 4:
x = 2
Distribute the 8 and 14 into the parentheses:
24x + 8 = 28x
Subtract 24x from both sides:
8 = 4x
Divide both sides by 4:
x = 2
Given:
Karen earns $54.60 for working 6 hours.
Amount she earns varies directly with the number of hours she works.
She need to work to earn an additional $260.
To find:
Number of hours she need to work to earn an additional $260.
Solution:
Let the amount of earnings be A and number of hours be t.
According to question,
...(i)
where, k is constant of proportionality.
Karen earns $54.60 for working 6 hours.
Divide both sides by 6.
Put k=9.1 in (i).
Substitute A=260 in the above equation.
Divide both sides by 9.1.
Therefore, she need to work extra about 29 hours to earn an additional $260.