Linear Systems question?
Wholesale Jewelry receives an order for a total of 800 tie tacks and lapel pins. The tie costs $5.65 each and the lapel pins cost $7.42 each. A check for $4897.01 is enclosed, but the order fails to specify the number of each. Help the distributor determine how to fill the order.
Could someone please help me set up this problem I have no idea where to even begin. Thanks a lot.
tacks and pins, t & p
count: t + p = 800
cost: 5.65t + 7.42p = 4897.01
multiply 1st eq by 5.65 and subtract from 2nd.
5.65t + 7.42p = 4897.01
5.65t + 5.65p = 4520.00
——————————–
∙ ∙ ∙ ∙ ∙ ∙ 1.77p = ∙ 377.01
∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙p = 213
so t = 587
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