Answer:
35 quarters
Step-by-step explanation:
This situation has two unknowns - the total number of dimes and the total number of quarters. Because we have two unknowns, we will write a system of equations with two equations using the two unknowns.
is an equation representing the total number of coins
is an equation representing the total value in money based on the number of coin. 0.10 and 0.25 come from the value of a dime and quarter individually.
We write the first equation in terms of q by subtracting it across the equal sign to get
. We now substitute this for d in the second equation.

After simplifying, we subtract 6 across and divide by the coefficient of q.

We now know of the 60 coins that 35 are quarters. To find the total value of the quarters, we multiply 35 by 0.25 and find 8.75.
Answer:
h = 60 ; x = 25
Step-by-step explanation:
You are going to want to use Pythagorean Theorem to solve these.
Pythagorean Theorem: a² + b² = c²
h² + 144² = 156²
h² + 20736 = 24336
h² = 3600
h = 60
x² + 60² = 65²
x² + 3600 = 4225
x² = 625
x = 25
Answer:
He would make $36 for 12 pounds of strawberries
He would make $196 for 49 pounds of blueberries
He would make 3S if he sold S pounds of strawberries
He would make 4B if he sold B pounds of blueberries
Working:
We know that strawberries are $3/pound so $3 x 12pounds = $36
We know that blueberries are $4/pound so $4 x 49pounds = $196
The letters represent the amount of pounds of fruit being bought so the calculation for that is ($ x pounds) so you would write this but without assigning a numerical value to the amount. So if the strawberries are $3/pound and Luke sold ‘s’ pounds then it would be 3S (or 3xS but that is already assumed). The same goes for the blueberries. We know that they are $4/pound so it would be 4B.
Sorry if this doesn’t make any sense but I hope this helped