A pastry shop was having its grand opening promotion for eclairs and bagels at the prices as shown. Tammy spent an equal amount of money on the eclairs and bagels for her company party. She bought 42 more eclairs than bagels. What was the total number of eclairs and bagels bought by Tammy?
To make the amount spent on eclairs and bagels the same, find the LCM of 8 and 10.

LCM of 8 and 10 = 40

Number of sets of $10 in $40
= 40 ÷ 10
= 4

Number of eclairs that can be bought with $40
= 4 x 6
= 24

Number of sets of $8 in $40
= 40 ÷ 8
= 5

Number of bagels that can be bought with $40
= 5 x 2
= 10

Number of more eclairs than bagels in every $40 spent on each item type
= 24 - 10
= 14

Number of sets of 14
= 42 ÷ 14
= 3

Number of eclairs and bagels in 1 set
= 24 + 10
= 34

Total number of eclairs and bagels that Tammy bought
= 3 x 34
= 102

Answer(s): 102