Jeff places a pineapple with a mass of 890 grams on a balance scale. He balances the scale by placing two oranges an apple and a lemon on the other side. Each orange weighs 280 grams. The lemon weighs 195 grams less than each orange. What is the mass of the Apple?

Respuesta :

(280 * 2) + (280 - 195) = 645
In order to balance it, both sides need to have the same mass.
890 - 645 = 245 grams is how much the apple weigh


The weigh of an apple placed on the other side of the scale is [tex]245\;\rm grams[/tex].

A balance scale is used to measure an unknown quality with the help of the measured reference quantity of mass.

Here, in the question, it is given that the scale is balanced by keeping a pineapple of mass [tex]890\;\rm grams[/tex] on one side of the scale and two oranges an apple, and a lemon on the other side.

Weight of an orange is [tex]280\;\rm grams[/tex]

Weight of a lemon is [tex]280-195=85\;\rm grams[/tex]

If the scale is balanced then, both side should weigh equal so,

[tex]\rm Pineapple=2\rm (oranges)+apple+lemon\\890=2\times (280)+apple+85\\apple=890-560-85\\apple=245\;\rm grams[/tex]

Hence, the weigh of an apple placed on the other side of the scale is [tex]245\;\rm grams[/tex].

Learn more about weighing scale here:

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