Question

Please help!

Answer 1

A hardware store mixes paints in a ratio of three parts blue to five parts yellow to make two gallons of lime green. A ration of six parts blue to two parts yellow makes two gallons of ocean blue. A gallon of lime green is $32, and a gallon of ocean blue is $35. Find the cost of 1 quart of blue paint and 1 quart of yellow paint.

Answer 2

I think that this will make 3 equations

Answer 3

but I don't know how to set up the three equations

Answer 4

I forgot how to do ratios

Answer 5

????

Answer 6

let cost of a gallon of blue paint be b dollars and cost of yellow be y dollars
the ratio 3 to 5 means that there is for the lime green paint, 3/8 blue and 5/8 yellow
and for ocean blue 6/8 blue and 2/8 yellow or 3/4 and 1/4.

so we can write the following 2 equations

(3/8)b + (5/8) y = 2*32
(3/4)b+ (1/4)y = 2* 35

solve for b and y to get the cost / gallon of the blue and yellow paints.

Answer 7

omg thank you this helps so much

Answer 8

not sure what a US quart is - is it 1/4 of a gallon?

Answer 9

yes

Answer 10

Should I use substitution or elimination?

Answer 11

OH OK same as in UK

sorry but I have to go.

Answer 12

multiply the first equation by -2 and add . This will eliminate the terms in b.

Answer 13

k thanks