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25 December, 10:21

Andres school orders some new supplies for the chemistry lab. The online store shows a pack of 10 test tubes costs $4 less than a set of nested beakers. in order to fully equip the lab, the school orders 12 sets of beakers and 8 packs of rest tubes. a. Write an equation that shows the cost of a pack of test tubes, t, in terms of the cost of a set of beakers. b. the school office receives a bill for the supplies in the amount of $348. Write an equation with t and b that describes this situation. d. solve equation for b. e. How much did the school pay for a set of beakers? for a pack of test tubes?

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  1. 25 December, 12:43
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    10t = b - 4

    12b+8t = $348

    This is a system of equations. I’ll be solving through substitution.

    In the first equation. solving for b (the easier variable to isolate) gives you:

    b = 10t + 4

    Substitute this into the second equation:

    12 (10t+4) + 8t = 348

    120t+48+8t = 348

    128t = 300

    t = 2.34375 - > round it to the nearest cent to get 2.34 dollars

    b = 10t+4

    b = 10 (2.34) + 4

    b = 27.4 dollars
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