Question 1158653
What numbers whose sum is between
18 and 30 are in that exact ratio?
{{{ ( 6/6 )*( 5/1 ) = 30/6 }}}
{{{ 30 + 6 = 36 }}} doesn't work
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{{{ ( 5/5 )*( 5/1 ) = 25/5 }}}
{{{ 25 + 5 = 30 }}} this would work
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{{{ ( 4/4)*( 5/1 ) = 20/4 }}} 
{{{ 20 + 4 = 24 }}} this would work
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{{{ ( 3/3 )*( 5/1 ) = 15/3 }}}
{{{ 15 + 3 = 18 }}} this would work
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{{{ 2/2 )*( 5/1 ) = 10/2 }}}
{{{ 10 + 2 = 12 }}} doesn't work
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There are 3 possible answers
(1)
25 sandwiches
5 cupcakes
If there are 30 students
(2)
20 sandwiches
4 cupcakes
If there are 24 students
(3)
15 sandwiches
3 cupcakes
If there are 18 students
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Any other number of students will
not make the exact 5:1 ratio possible