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Daryn121504
09.01.2020 •
Mathematics
Ashipment of 205 otter box covers for i-phones has just arrived. the total invoice (excluding tax, shipping, etc.) is $ 4,829.75 the otter box "defender" cover is priced at $39.95 the otter box "case" cover is priced at $18.95 how many otter box "defender" series covers are in the shipment?
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Ответ:
45 otter box defender series covers are in the shipment
Solution: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
Given that shipment of 205 Otter Box covers for i-phones has just arrived
Therefore,
number of Otter Box Defender cover + number of Otter Box Case cover = 205
x + y = 205 ---------- eqn 1
Given that total invoice is $ 4829.75
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
Let us solve eqn 1 and eqn 2
From eqn 1,
x = 205 - y ----- eqn 3
Substitute eqn 3 in eqn 2
39.95(205 - y) + 18.95y = 4829.75
8189.75 - 39.95y + 18.95y = 4829.75
-21y = 4829.75 - 8189.75
-21y = -3360
y = 160From eqn 3,
x = 205 - y
x = 205 - 160
x = 45Thus 45 otter box defender series covers are in the shipment
Ответ:
60
Step-by-step explanation:
K=74 +90+88+87+86+85+84+83+82+81 = 840
R= 90+89+79+78+77+76+75+73+72+71=780
( 840 -780=60) -
So proves 60 which is maximum (largest amount) greater that Robs total = 60