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A cell phone store sells the basic model of a phone for $30 and the upgraded model for $100 when a customer signs a two-year agreement. On Tuesday, the store has $900 in sales. The store pays $5 for each basic model and $25 for each upgraded model. If the cost of the cell phones sold on Tuesday is $200, how many upgraded models were sold?

Verified Answer :

You need to set up 2 equations for this, a system to be exact

let x represent the cheaper phone and y represent the upgraded phone

for store costs you will have

5x+25y=200

for selling prices you will have 30x+100y=900

set these two equations together

5x+25y=200
30x+100y=900

multiply the first one by -4 and add them

-20x-100y=-800
30x+100y=900

10x=100
x=10

10 cheaper phones, plug into any equation again

5(10)+25(y)=200

y=6<<<6 upgraded phones