PSLESabrina and Tiffany made some cheese sandwiches and apricot sandwiches. Sabrina made 21 more cheese sandwiches than apricot sandwiches. Tiffany made 141 more apricot sandwiches than cheese sandwiches. The total number of cheese sandwiches made up 44% of the total number of sandwiches they made. How many cheese sandwiches did they make altogether?
Number of apricot sandwiches |
Number of cheese sandwiches |
56% |
44% |
Sabrina |
Tiffany |
Sabrina |
Tiffany |
1 u |
1 p + 141 |
1 u + 21 |
1 p |
SabrinaNumber of apricot sandwiches = 1 u
Number of cheese sandwiches = 1 u + 21
Tiffany Number of cheese sandwiches = 1 p
Number of apricot sandwiches = 1 p + 141
Number of apricot sandwiches in percent
= 100% - 44%
= 56%
1 u + 21 + 1 p = 44% --- (1)
1 u + 1 p + 141 = 56% --- (2)
(2) - (1)
56% - 44% = 141 - 21
12% = 120
1% = 120 ÷ 12 = 10
Number of cheese sandwiches that they made altogether
= 44%
= 44 x 10
= 440
Answer(s): 440