word problem

Lovepreet is selling tickets for the school play. She sold 10 more adult tickets than child tickets, and she sold twice as many senior tickets as children tickets. adult tickets cost $5, Senior tickets cost $3, and child tickets cost $2. If Lovepreet made $700, determine how many for each ticket she sold.

child tickets = x

$\$5(x+10)+\$2\times x+\$3\times2x=\$700$ [divided by $;

$5x+50+2x+6x=700$     [ alternate sides and signs                                                                                                              add 

$13x=650$                                               [ divided by 13

$x=50$

$Lovepreet \ sold \ 50 \ tickets \ for \ children,$

$60 \ tickets \ for \ adults \ and \ 100 \ tickets \ for \ seniors.$

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