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zaharov [31]
3 years ago
12

A health food company packs almond butter in jars. Some jars hold 250 g. Other jars hold 500 g. On Tuesday, the company packed 1

86.5 kg of almond butter in 511 jars. How many jars of each size did they pack?
Mathematics
2 answers:
Rom4ik [11]3 years ago
8 0

Answer:

Number of 250 g jars packed that day = 276

Number of 500 g jars packed that day = 235

Step-by-step explanation:

Let the company packs x jars of 250 g and y jars of 500 g

Total number of jars packed by the health food company = 511

⇒ x + y = 511

⇒ x = 511 - y ......(1)

Now, quantity of almond packed in 511 jars = 186.5 Kg

1 Kg = 1000 g

⇒ 186.5 Kg = 186500 g

⇒ 250x + 500y = 186500

Putting value of x from equation (1) in the above equation formed.

⇒ 250(511 - y) + 500y = 186500

⇒ 127750 + 250y = 186500

⇒ 250y = 58750

⇒ y = 235

Putting this value in equation (1) ,

x = 511 - 235

⇒ x = 276

Hence, number of 250g jars packed that day = 276

Number of 500 g jars packed that day = 235

MArishka [77]3 years ago
5 0
Let the number of 250g=0.25  kg jars be x and that of 500g=0.5 kg jams be y;
therefore:
total number of jars ws
x+y=511
x=511-y..........i

total mount kgs was:
0.25x+0.5y=186.5....ii
substituting i in ii
0.25(511-y)+0.5y=186.5
127.75-0.25y+0.5y=186.5
solving for y we get:
0.25y=186.5-127.75
0.25y=58.75
y=58.75/0.25
y=235 jars
and 
x=511-x
=511-235
=276
hence we conclude that there was 235 jars with 0.5 kg almond and 276 jars with 0.25 kg almonds
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