This is a visual math puzzle where we need to find the value of each ice cream component: the cone, the white scoop, and the pink scoop. We can solve this by setting up a system of equations based on the given information.
Let's denote:
- $C$ = value of one cone
- $W$ = value of one white scoop
- $P$ = value of one pink scoop
From the image, we have the following equations:
1.
Three cones multiplied together equal 27:
$C \times C \times C = 27$, or $C^3 = 27$
2.
Two ice cream cones (each with one white scoop) added together equal 10:
$(C + W) + (C + W) = 10$, or $2(C + W) = 10$
3.
One ice cream cone with two white scoops plus one ice cream cone with one pink scoop equals 11:
$(C + 2W) + (C + P) = 11$, or $2C + 2W + P = 11$
4.
One ice cream cone with one white scoop, plus one plain cone, plus one ice cream cone with three scoops (two pink, one white) equals 15:
$(C + W) + C + (C + 2P + W) = 15$, or $3C + 2W + 2P = 15$
We can now solve these equations step-by-step.
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Step 1: Solve for C (the cone)
From equation 1:
$C^3 = 27$
Taking the cube root of both sides:
$C = \sqrt[3]{27} = 3$
So, the value of one cone is
3.
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Step 2: Solve for W (the white scoop)
Now plug $C = 3$ into equation 2:
$2(C + W) = 10$
$2(3 + W) = 10$
$6 + 2W = 10$
$2W = 4$
$W = 2$
So, the value of one white scoop is
2.
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Step 3: Solve for P (the pink scoop)
Now plug $C = 3$ and $W = 2$ into equation 3:
$2C + 2W + P = 11$
$2(3) + 2(2) + P = 11$
$6 + 4 + P = 11$
$10 + P = 11$
$P = 1$
So, the value of one pink scoop is
1.
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Step 4: Verify the solution with equation 4
Let's check if our values satisfy the final equation:
$3C + 2W + 2P = 15$
$3(3) + 2(2) + 2(1) = ?$
$9 + 4 + 2 = 15$
$15 = 15$ ✓
The solution is correct.
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Final Answer
Based on the calculations:
*
Cone = 3
*
White Scoop = 2
*
Pink Scoop = 1
These values satisfy all four equations presented in the image.
Parent Tip: Review the logic above to help your child master the concept of hard math.