Mixing two kinds of candy the price of which was $2 and $4 per pound, ella got a 10-lb mix of candy, which cost $2.90 per pound. how many pounds of each kind of candy were used for the mix?
Answers
Step-by-step explanation:
Let x represent the number of pounds of higher-priced candy used in the mix. Then 10-x is the weight of the lower-priced candy. The cost of the mix is ...
4x + 2(10-x) = 10(2.90)
2x = 9 . . . . . subtract 20, collect terms
x = 4.5 . . . . .divide by the coefficient of x
4.5 pounds of $4 candy and 5.5 pounds of $2 candy were used in the mix.
1. 180°. the sum of the interior angles of a triangle is 180°, for the equilateral triangle that it has three equals side is 60°+60°+60°=180°.
2. 60°. each interior angle of a equilateral triangle is 60°
3. 120°. the measure of ∠m is 120°, the sum of the angles ∠m and ∠n is equal to 180°. so, in order to find the measure of ∠m, we have ∠m+∠n=180° > ∠m=180°-∠n > ∠m=180°-60°=120°.
4. 360°. the sum of the exterior angles of an equilateral triangle is ∠m+∠r+∠x=120°+120°+120°=360°. the exterior angles of any triangle always add 360°.
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