Question

Emily sells erasers for $2 per package and pencils for $5 per package. she sells 220 total packages and earns $695. find the number of packages of erasers and pencils that were sold

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Answer 1

Given :

Emily sells erasers for $2 per package and pencils for $5 per package. she sells 220 total packages and earns $695.

To Find :

The number of packages of erasers and pencils that were sold .

Solution :

Let, number of erasers are x and pencils are y.

So, x + y = 220 ....1

Also, 2x + 5y = 695 ....2

Solving equation 1 and 2, we get :

`2(220-y)+5y = 695\\\\440 - 2y + 5y = 695\\\\3y = 255\\\\y=85`

x = 220 - 85 = 135

Therefore, the number of packages of erasers and pencils that were sold are 135 and 85 respectively.

Hence, this is the required solution.

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