Question

1. Enrico sold a 10-pound box of assorted chocolates. Some of the chocolates in the box sold
for $1.75 per pound and some sold for $2.00 per pound. How many pounds of each chocolate
were included in the box if the mixture sold for $1.90 per pound?

Answer 1

This shows that about 7 and 3 pounds of each chocolate were included in the mixture.

Let the number of pounds of both chocolates be x and y.

If Enrico sold a 10-pound box of assorted chocolates, hence;

x + y = 10 ................. 1

If some of the chocolates in the box sold  for $1.75 per pound and some sold for $2.00 per pound with mixture sold for $1.90 per pound, then:

1.75x + 2x = 1.90 ................ 2

Solve equations 1 and 2 simultaneously.

x + y = 10 ................. 1 * 20

17.5x + 20x = 19 ................ 2 * 1

____________________________

20x + 20y = 200

17.5x + 20x = 19

Subtract

20x - 17.5x = 200 - 19

2.5x = 181x = 7.24

Substitute 7.24 into 1

x  + y = 10

y = 10 - 7.24

x = 2.76

This shows that about 7 and 3 pounds of each chocolate were included in the mixture.

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