one package has 500 resistors, the other has 1,250. You need 10,000 resistors how many packages would you need?

Question

An electronics component distributor sells resistors in two package sizes. One package contains 500 resistors and the other contains 1,250. You need 10,000 resistors how many packages would you need to buy if you bought all small packages and all large packages?

Answer 1

s = number of small packages

 

500s ≥ 10000

s ≥ 20

 

You need at least 20 of the small packages.

 

l = number of large packages

 

1250l ≥ 10000

l ≥ 8

 

You need at least 8 of the large packages.

Answer 2

Hi Ada,

 

P1 = 500

 

P2 = 1250

 

The two equations are 

 

NP1 * P1 = 10,000 &

 

NP2 * P2 = 10,000

 

Thus for small packages the number is NP1 = 20 small packages

 

and for large packages the number is NP2 = 8 large packages