Let's call:
f = price of 1 cup of dried fruit
a = price of 1 cup of almonds

In order to build the linear system, you need to consider that the total price of a bag is given by the sum of the price of cups times the number of cups in each bag, therefore:

$\left \{ {{3f + 4a = 6} \atop {41/2 f + 6a = 9 }} \right.$

Solve for a in first equation:
a = (6 - 3f) / 4

Then substitute in the second equation:
41/2 f + 6 · (6 - 3f) / <span>4 = 9
41/2 f + 9 - 9/2 f = 9
16 f = 0
f = 0

Now, substitute this value in the formula found for a:
</span>a = (6 - 3·0) / <span>4
= 3/2 = 1.5

Hence, the cups of dried fruit are free and 1 cup of almond costs 1.5$</span>

3 0

3 years ago

Billy has 5 1/4 yards of wire if he uses for is 4 7/8 yards to make a fence how much would he have left​

Billy has 5 1/4 yards of wire if he uses for is 4 7/8 yards to make a fence how much would he have left