A chef was arranging trays of fruit on the tables.
Four trays contained a total of 84 apples.
The fifth tray contained 4 fewer apples than the average of the five trays.
QUESTION: How many apples were in the fifth tray?
Could you please explain and show the steps to solve this problem. Much appreciated.
Thanks
.
Four trays contained a total of 84 apples.
The fifth tray contained 4 fewer apples than the average of the five trays.
QUESTION: How many apples were in the fifth tray?
Could you please explain and show the steps to solve this problem. Much appreciated.
Thanks
.
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Call the numbers in the five trays A,B,C,D,E.
Convert the sentences to equation form:
A+B+C+D = 84
E + 4 = (A+B+C+D+E)/5
Substituting:
E + 4 = (84 + E)/5
5E + 20 = 84 + E
4E = 64
E = 16
To confirm: total number of apples is 84 + 16 =100
Average of all five trays = 100/5 = 20
Tray E has four fewer than that average: QED
Convert the sentences to equation form:
A+B+C+D = 84
E + 4 = (A+B+C+D+E)/5
Substituting:
E + 4 = (84 + E)/5
5E + 20 = 84 + E
4E = 64
E = 16
To confirm: total number of apples is 84 + 16 =100
Average of all five trays = 100/5 = 20
Tray E has four fewer than that average: QED
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4A=84
A = 21
B = 21 - 4 = 17 <--
A = 21
B = 21 - 4 = 17 <--