Answer:
- 12x +15y = 4140; x + y = 300
- x = 120; y = 180
Step-by-step explanation:
The first equation is for receipts. Each x ticket generated $12 in receipts, so the first term needs to be 12x. Each y ticket generated $15 in receipts, so the second term needs to be 15y. U in this set of equations is the total number of tickets, said to be 300.
The equations are ...
12x +15y = 4140; x +y = 300
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Using the second equation to write an expression for x, we have ...
x = 300 -y
Substituting this into the first equation gives ...
12(300 -y) +15y = 4140
3600 +3y = 4140
y = (4140 -3600)/3 = 180
x = 300 -180 = 120
The number of tickets sold is ...
$12 tickets -- 120
$15 tickets -- 180
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You might want to notice that the equation we ended up with:
4140 -12(300) = 3y
is equivalent to this "word solution." This can be done in your head; no equations required.
If all the tickets sold were $12 tickets, the revenue would be $3600. The revenue is $540 more than that. Each $15 ticket generates $3 more revenue than a $12 ticket, so to have $540 more revenue, we must have 540/3 = 180 $15 tickets.
Her mistake is that she did the change in x over the change in y. It should be the change in y over the change in x. So: -2-3/-2-4
Answer:
2,500 ÷ 10
Step-by-step explanation:
Let's evaluate each expression one after the other and find out what they both gives us, then we'd now pick or select the one that doesn't give the required answer.
For 2,500 × 10
2500*10 = 25000
For 250,000 ÷ 10
250000/100= 25000
For 2,500 ÷ 10
2500/10= 250
So from the look of the results,
The one that gave us the odd result is
2,500 ÷ 10, and that's our answer.
Answer:
the second one is considered a bad habit as those receipts can come in handy one day
Step-by-step explanation:
