Respuesta :
Ratio shows us the number of times a number contains another number. The weight of the fruit box is 31.2 lbs.
What is Ratio?
A ratio shows us the number of times a number contains another number.
As it is given the ratio of the fruits oranges, apples, and pears is 2:5:6. And the weight of the oranges in the box is 4.8 lbs.
Let's assume that the weight of the oranges, apples, and pears is 2x, 5x, and 6x respectively.
Now, as the weight of the oranges is 4.8 lbs, therefore,
The weight of the oranges, 2x = 4.8 lbs
x = 2.4 lbs
Now, as we know the value of x, therefore, the weight of the fruit box is,
[tex]\begin{aligned}\text{Total weight of the fruit box} &= 2x + 5x+ 6x \\&=13x \end{aligned}[/tex]
Now, substitute the value of x, therefore, we can write it as,
[tex]=13x\\\\= 13(2.4)\\\\= 31.2\rm\ lbs[/tex]
Hence, the weight of the fruit box is 31.2 lbs.
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