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22 sandwiches and 2 sizes of baskets. One type holds 7 sandwiches and the other holds 4 sandwiches. If a=7 and b=4, which shows the way to carry the sandwiches?

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2 Answers

If you did not have answers you could set up an equation and make a table of values.
7x+4y=22 where x and y are the two basket sizes.
x=1 means 7(1)+4y=22, 4y=15, no
x=2 means 7(2)+4y=22, 4y=8, y=2, yes
x=3 means 7(3)+4y=22, 4y=1, no
if a=7 and b=4 the answer is 2a+2b
a = 7
b = 4
 
Plug in a=7 and b=4 into each expression and compute the answer:
 
5b = 5*4 = ??
 
2a + 2b = 2*7 + 2*4 = 14 + 8 = ??
 
3a = 3*7 = ??
 
1a + 3b = 1*7 + 3*4 = 7 + 12 = ??
 
Which expression adds up to 22 sandwiches?