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fiasKO [112]
3 years ago
15

olivia has $180 to buy presents for her 3 sisters and 2 nephews. She wants to spend $15 more on each sister than she spends on e

ach nephew. How much does she spend on each sister?
Mathematics
1 answer:
koban [17]3 years ago
6 0
So
if x is the number she spent on each sister and y is the number she spent on each nephew then
180=3x+2y

she wants to spend 15 dollars more on sisters than nephews
so
x=15+y
solve

we have
180=3x+2y and
x=15+y
subsitute 15+y for x

180=3(15+y)+2y
180=45+3y+2y
180=45+5y
minus 45 both sides
135=5y
divide both sides by 5
27=y

solve for x
x=15+y
x=15+27
x=42

she spent $42 on each sister
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Because m<ABM = m<MDC = 30º, these two sectors are 30/360 of the individual circles or 1/12 of the original circles, which have areas of π (because 1^2*π = π). Each is 1/12π, combined they are 1/6π.

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