Will, Sue and Micah went to dinner. Will paid 1/4 of the bill. Micah and Sue paid in the ratio of 1:3. If Sue paid $15 more than
Will, how much did dinner cost in total?
1 answer:
Answer:
The dinner cost was
$
48
Step-by-step explanation:
Let the dinner cost was $
x
Will paid x
/4
Micah paid 1/
4 of remaining
(
1
−
1
/4
)
x
=
3/4
x
i.e
4
/16x
Sue paid 3/4 of remaining
(
1
−
1
/4
)
x
=
3/4x
i.e
9/16
x
Sue paid $
15 more than Will.
∴ 9/16
x -1
/4
x
= 5/16x=15
or
x=$48
Will paid 48
/4
=
$
1
2, Miah paid 4
/16.
48
=
$
12
,Sue paid 9/16⋅
48=
$
27
The dinner cost was
$
48
.
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