A pineapple is 7 times as heavy as an orange. The pineapple also weighs 870 grams more then the orange. What is he total weight in grams for the pineapple and orange?

Respuesta :

Answer:

Weight of Pineapple = ( Wp) = 1015 grams

Weight of Orange     = (Wo) =  145 grams

Step-by-step explanation:

Given as,

Weight of Pineapple = 7 times Weight of Orange              ...Eq 1

Also,

Weight of Pineapple = Weight of Orange + 870 grams          .....Eq 2

Now let, Weight of Pineapple = Wp

And         Weight of Orange    = Wo

From Eq 1 and Eq 2 ,

7 times Weight of Orange = Weight of Orange + 870 grams

Or, 7 × Wo = Wo + 870 grams

Or, 7× Wo - Wo = 870 grams

Or, 6 Wo = 870 grams

∴ Wo = [tex]\frac{870}{6}[/tex] = 145

i.e Weight of orange = 145 grams

And from eq 2,

Weight of Pineapple = Weight of Orange + 870 grams

i.e Weight of Pineapple = 145 grams + 870 grams

or, Weight of Pineapple = 1015 grams

Hence, Weight of Pineapple = 1015 grams and Weight of orange = 145 gm

Answer .

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