Pencils come in packages of 10. Erasers come in packages of 12. Phillip want to purchase the smallest number of pencils and erasers so that he will have exactly 1 erasers per pencil. How many packages of pencils and erasers should Phillip buy

6 packages of pencils

5 packages of erasers

Step-by-step explanation:

we need to find the LCM of 10 and 12, which is 60

because 60 is divisible by both 10 and 12

60/10 = 6 packages of pencils

60/12 = 5 packages of erasers

it's equivalent, so we can say that its equal.

let's call the denominator x and the numerador is 18 less then denominator, x - 18.

multiply

2.x = 5.(x - 18)

2x = 5x - 90

90 = 5x - 2x

90 = 3x

x = 90/3

x = 30

so:

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step-by-step explanation: