1. Let the original price per ticket be \( x \). After a $30 discount, the price is \( x - 30 \). He bought 5 tickets for $250 total:
\( 5(x - 30) = 250 \)
\( 5x - 150 = 250 \)
\( 5x = 400 \)
\( x = 80 \)
The original price per ticket was $80.
2. Let the hours worked be \( h \). She earns $7/hour and $35 in tips, totaling $175:
\( 7h + 35 = 175 \)
\( 7h = 140 \)
\( h = 20 \)
Carlita worked 20 hours that week.
3. Let the original price of each cylinder be \( x \). With a 25% discount, the price is \( 0.75x \). He bought 8 for $24 total:
\( 8(0.75x) = 24 \)
\( 6x = 24 \)
\( x = 4 \)
The original price of each cylinder was $4.
4. Let the number of coconut hand creams sold be \( c \). She sold 8 lavender creams at $10 each and \( c \) coconut creams at $10 each, totaling $160:
\( 10(8) + 10c = 160 \)
\( 80 + 10c = 160 \)
\( 10c = 80 \)
\( c = 8 \)
Elizabeth sold 8 coconut hand creams.
Parent Tip: Review the logic above to help your child master the concept of multi step equation word problems worksheet.
