Posted by **mike** on Saturday, November 20, 2010 at 4:00pm.

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 -
**Damon**, Saturday, November 20, 2010 at 4:22pm
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 -
**Jen**, Saturday, November 20, 2010 at 4:24pm
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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