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A small office supply store sells paper clipsin packs of 100 and packs of 250. If thestore has 84 packs of paper clips in stocktotaling 12,300 paper clips, how manypaper clips would a customer buy if he buyshalf of the packs of 250 that the store hasin stock?

A Small Office Supply Store Sells Paper Clipsin Packs Of 100 And Packs Of 250 If Thestore Has 84 Packs Of Paper Clips In Stocktotaling 12300 Paper Clips How Man class=

Sagot :

The first equation should represent the total number of packs, each with 100 or 250 paper clips

i,e. x + y = 84 (1)

The second equation should represent the total number of paper clips. Because x represents packs with 100 paper clips and y represents packs with 250 paper clips, the second equation is

100x + 250y = 12,300 (2)

Simplify the linear equation;

x + y = 84

x = 84 - y

Substitute the value of x = 84 - y in the equation (2);

100x + 250y = 12300

100(84 - y) + 250y = 12300

8400 - 100y + 250y = 12300

8400 + 150y = 12300

150y = 12300 - 8400

150y = 3900

y = 3900/150

y = 26

Substitute the value of y = 26 in the equation x = 84 - y

x = 84 - y

x = 84 - 26

x = 58

The store has 26 packs of 250 paper clips in stock.

The customer would buy 13 × 250 = 3,250 paper clips,

Answer : 3250

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