A stall was having its grand opening promotion for eclairs and bagels at the prices as shown. Xandra spent an equal amount of money on the eclairs and bagels for her company party. She bought 6 more eclairs than bagels. What was the total number of eclairs and bagels bought by Xandra?
To make the amount spent on eclairs and bagels the same, find the LCM of 5 and 7.

LCM of 5 and 7 = 35

Number of sets of $7 in $35
= 35 ÷ 7
= 5

Number of eclairs that can be bought with $35
= 5 x 6
= 30

Number of sets of $5 in $35
= 35 ÷ 5
= 7

Number of bagels that can be bought with $35
= 7 x 4
= 28

Number of more eclairs than bagels in every $35 spent on each item type
= 30 - 28
= 2

Number of sets of 2
= 6 ÷ 2
= 3

Number of eclairs and bagels in 1 set
= 30 + 28
= 58

Total number of eclairs and bagels that Xandra bought
= 3 x 58
= 174

Answer(s): 174