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45 otter box defender series covers are in the shipment
<h3><u><em>Solution:</em></u></h3>Let the number of Otter Box Defender cover be x
Let the number of Otter Box Case cover be y
Cost of 1 Otter Box Defender cover = $ 39.95
Cost of 1 Otter Box Case cover = $ 18.95
<em><u>Given that shipment of 205 Otter Box covers for i-phones has just arrived</u></em>
Therefore,
number of Otter Box Defender cover + number of Otter Box Case cover = 205
x + y = 205 ---------- eqn 1
<em><u>Given that total invoice is $ 4829.75</u></em>
Therefore,
number of Otter Box Defender cover x Cost of 1 Otter Box Defender cover + number of Otter Box Case cover x Cost of 1 Otter Box Case cover = 4829.75
39.95x + 18.95y = 4829.75 ------ eqn 2
<em><u>Let us solve eqn 1 and eqn 2</u></em>
From eqn 1,
x = 205 - y ----- eqn 3
<em><u>Substitute eqn 3 in eqn 2</u></em>
39.95(205 - y) + 18.95y = 4829.75
8189.75 - 39.95y + 18.95y = 4829.75
-21y = 4829.75 - 8189.75
-21y = -3360
<h3>y = 160</h3>From eqn 3,
x = 205 - y
x = 205 - 160
<h3>x = 45</h3>Thus 45 otter box defender series covers are in the shipment