# ALgebra word problem

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a coffee shop sells a cup of espresso for \$2.00 and a cup of cappuccino for 2.50. on friday, rachel sold 30 more cups of cappuccino than espresso, and she sold \$178.50 worth of espresso and cappuccino together. how many cups of each were sold?

• ALgebra word problem -

x espresso and y cappuccino

for x ----- 2 x dollars
for y ----- 2.5 y dollars
so
2x + 2.5 y = 178.5
but
y = 30 + x
so
2x + 2.5(30+x) = 178.5

• ALgebra word problem -

2e+2.5c=178.50 c=30+e
2e+2.5(30+e)=178.5
2e+75+2.5e=178.5
4.5e+75=178.5
4.5e=103.5
e=23,
c=30+e
c=30+23
c=53
Check it by plugging them back into the first equation; it works.

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